PETSC FIREDRAKE '26: PETSC ANNUAL USER MEETING AND FIREDRAKE '26

This page contains an index consisting of author-provided keywords.

A
adaptive time stepping	Auxiliary gradient flows for generalized Newtonian models
Additive Schwarz Methods	Two-level Schwarz methods using more subdomains than MPI processes and multi-precision (time, memory and energy investigations)
Adjoint	Adjoint-based optimisation problems in the Thetis coastal ocean model
Algebraic Multigrid	Automated Grammar-based Design of Algebraic Multigrid Methods with Evolutionary Algorithms
Algorithms	Using profiling to provide performance insights and make improvements to Gusto
applications	Developments and opportunities in G-ADOPT
Arbitrary Lagrangian–Eulerian (ALE)	Augmented Lagrangian Preconditioner for 3D Incompressible Flow with Moving Boundaries in PETSc
Asymmetric	Solving advection equations with PFLARE
atmospheric modelling	A comparison of time-parallel deferred correction methods for atmospheric modelling in Gusto
augmented variational principle	Smoothed augmented Lagrangian variational principles with energy conservation
Automated algorithm design	Automated Grammar-based Design of Algebraic Multigrid Methods with Evolutionary Algorithms
Automated code generation	Automatic Generation of Matrix-Free Routines for PDE Solvers with Devito via PETSc
Automatic differentiation	fdvar: Parallel-in-time 4DVar data assimilation in Firedrake
AVF energy conservation	Smoothed augmented Lagrangian variational principles with energy conservation
B
bounds-constrained approximation	Enforcing bounds constraints in Firedrake
C
classification	Distributed Memory Parallel Machine Learning with PetscRegressor
climate modelling	A comparison of time-parallel deferred correction methods for atmospheric modelling in Gusto
CMake	Testing the Impact of PETSc in a Multi-project Environment based on GitLab-CI
Coarse correction	Two-level Schwarz methods using more subdomains than MPI processes and multi-precision (time, memory and energy investigations)
Coastal ocean modelling	Adjoint-based optimisation problems in the Thetis coastal ocean model
code generation	pyop3: Extending the tensor abstraction to unstructured meshes
compatible finite elements	Energy conserving discretisations for the rotating shallow water equations
Compatible finite-element method	Numerical wavetank with a sloping beach: coupling deep- and shallow-water dynamics in Firedrake
compiler	Back to the Source: Turning Devito into a Bidirectional Compiler
conservation laws	Finite elements in time in Irksome
Constitutive modelling	Missing Physics Discovery through Fully Differentiable Finite Element-Based Machine Learning
continuous Petrov–Galerkin	Finite elements in time in Irksome
coupling	Scalable assembly of non-conforming model coupling operators between H1, Hcurl, and Hdiv finite element spaces
D
Data assimilation	fdvar: Parallel-in-time 4DVar data assimilation in Firedrake Determination of Navier's slip parameter using variational data assimilation
Data Visualization
data-driven enhancement preconditioning	A data-enhanced preconditioner for high-order finite element discretization of the incompressible Navier-Stokes equations
deferred correction	A comparison of time-parallel deferred correction methods for atmospheric modelling in Gusto
degenerate elliptic equations	Auxiliary gradient flows for generalized Newtonian models
development	Back to the Source: Turning Devito into a Bidirectional Compiler
Devito	Back to the Source: Turning Devito into a Bidirectional Compiler
dimensional analysis	Dimensional analysis in UFL
discontinuous Galerkin	Finite elements in time in Irksome
dissipation inequalities	Finite elements in time in Irksome
distributed memory parallelism	Distributed Memory Parallel Machine Learning with PetscRegressor
domain decomposition	Refactoring HPDDM for GPU-Enabled Domain Decomposition Robust Multigrid and Domain Decomposition solvers with Firedrake and PETSc A large-scale Full Waveform Inversion code based on Domain Decomposition Methods
Domain Decomposition Methods	Two-level Schwarz methods using more subdomains than MPI processes and multi-precision (time, memory and energy investigations)
domain specific language	pyop3: Extending the tensor abstraction to unstructured meshes
Domain-specific languages	Automatic Generation of Matrix-Free Routines for PDE Solvers with Devito via PETSc
dsl	Back to the Source: Turning Devito into a Bidirectional Compiler
E
Eigenvalue Problems	Solving Nonlinear Eigenvalue Problems with Eigenvector Dependency (NEPv) with SLEPc
Elastic wave	Firedrake for Elastic propagation and Full Waveform Inversion
Elastoplasticity	Missing Physics Discovery through Fully Differentiable Finite Element-Based Machine Learning
Electrolytes	Finite element algorithms for the irreversible thermodynamics of battery electrolytes
Energy-to-solution	Two-level Schwarz methods using more subdomains than MPI processes and multi-precision (time, memory and energy investigations)
Evolutionary algorithm	Automated Grammar-based Design of Algebraic Multigrid Methods with Evolutionary Algorithms
F
FEM	Helicity-preserving finite element schemes for magnetohydrodynamics
FEniCSx	Dimensional analysis in UFL
Finite differences	Automatic Generation of Matrix-Free Routines for PDE Solvers with Devito via PETSc
finite element	Expanding the definition of a finite element
finite element discretization	Irksome: time-stepping in Firedrake and PETSc
finite element method	Auxiliary gradient flows for generalized Newtonian models
Finite elements	Determination of Navier's slip parameter using variational data assimilation
finite elements in time	Finite elements in time in Irksome
Finite-volume shallow-water method	Numerical wavetank with a sloping beach: coupling deep- and shallow-water dynamics in Firedrake
Firedrake	Energy conserving discretisations for the rotating shallow water equations Scalable assembly of non-conforming model coupling operators between H1, Hcurl, and Hdiv finite element spaces ML-Assisted Topology Optimization of Thermochemical Heat Storage Reactors with Firedrake
Fluid dynamics	Forecasting the weather using finite element methods
Formal Reasoning	Formal Reasoning for Mesh Transformation
Free-surface ship hydrodynamics	Three-Dimensional Free-Surface Flow Simulation around a Ship Hull Using PETSc DMDA
FreeFEM	Large-scale transmission eigenvalues with FreeFEM
FSI	Smoothed augmented Lagrangian variational principles with energy conservation
Full Waveform Inversion	Firedrake for Elastic propagation and Full Waveform Inversion
Full-Waveform Inversion	Topology Optimization Framework for Viscoelastic Full-Waveform Inversion
Fusion	NESO-Particles and VANTAGE-Reactions: Performance Portable Particles for Modelling Plasma Edge Regions
fwi	A large-scale Full Waveform Inversion code based on Domain Decomposition Methods
G
g-adopt	Developments and opportunities in G-ADOPT
generalized Newtonian fluids	Auxiliary gradient flows for generalized Newtonian models
Genetic Programming	Automated Grammar-based Design of Algebraic Multigrid Methods with Evolutionary Algorithms
geodynamics	Developments and opportunities in G-ADOPT
GitLab	Testing the Impact of PETSc in a Multi-project Environment based on GitLab-CI
glacial isostatic adjustment	Developments and opportunities in G-ADOPT
GPU Solvers
GPU support	Refactoring HPDDM for GPU-Enabled Domain Decomposition
GPUs	Solving advection equations with PFLARE
gradient flow	Auxiliary gradient flows for generalized Newtonian models
groundwater	Developments and opportunities in G-ADOPT
H
helmholtz	Large-scale transmission eigenvalues with FreeFEM A large-scale Full Waveform Inversion code based on Domain Decomposition Methods
High performance	Automatic Generation of Matrix-Free Routines for PDE Solvers with Devito via PETSc
high-order finite element	A data-enhanced preconditioner for high-order finite element discretization of the incompressible Navier-Stokes equations
hpc	A large-scale Full Waveform Inversion code based on Domain Decomposition Methods Developments and opportunities in G-ADOPT pyop3: Extending the tensor abstraction to unstructured meshes
HPDDM	Refactoring HPDDM for GPU-Enabled Domain Decomposition
Hybrid-Electric Aviation	Exploring Next-Gen Batteries for Hybrid-Electric Aviation by Means of Firedrake
hypre BoomerAMG	Automated Grammar-based Design of Algebraic Multigrid Methods with Evolutionary Algorithms
I
Ice-ocean model	The challenges of small scales with phase-field models
Incompressible Euler Equation	Robust Preconditioning for the Boussinesq Equations through Patch-wise Multigrid Smoother
Incompressible flow	Augmented Lagrangian Preconditioner for 3D Incompressible Flow with Moving Boundaries in PETSc
incompressible Navier-Stokes equations	A data-enhanced preconditioner for high-order finite element discretization of the incompressible Navier-Stokes equations
Interface	PETSc.jl – a Julia interface to the PETSc library
Interfacial heat and mass transfer	Modeling the wave-breaking phenomena in 3D using a two-phase flow method implemented in PETSc
interpolation	Scalable assembly of non-conforming model coupling operators between H1, Hcurl, and Hdiv finite element spaces
inverse problem	A large-scale Full Waveform Inversion code based on Domain Decomposition Methods
Irksome	Energy conserving discretisations for the rotating shallow water equations Finite elements in time in Irksome
Irreversible thermodynamics	Finite element algorithms for the irreversible thermodynamics of battery electrolytes
J
Julia	PETSc.jl – a Julia interface to the PETSc library
K
Kacanov method	Auxiliary gradient flows for generalized Newtonian models
Kinetic Plasma Simulation
L
Library development	petsctools: Pythonic extensions to petsc4py
Linear preconditioner	Learning-enhanced Newton-Krylov-Schwarz methods
Linear systems	Learning-enhanced Newton-Krylov-Schwarz methods
M
Machine Learning	ML-Assisted Topology Optimization of Thermochemical Heat Storage Reactors with Firedrake Distributed Memory Parallel Machine Learning with PetscRegressor
magnetic topology	Helicity-preserving finite element schemes for magnetohydrodynamics
Mass-lumped elements	Firedrake for Elastic propagation and Full Waveform Inversion
Matrix free	Automatic Generation of Matrix-Free Routines for PDE Solvers with Devito via PETSc
Mesh	Formal Reasoning for Mesh Transformation
Mesh adaptation	Nonlinear superconducting models in Firedrake: optimization, mesh adaptation, and cloud execution
mesh orientation	Expanding the definition of a finite element
MHD	Helicity-preserving finite element schemes for magnetohydrodynamics
Mimetic methods	Forecasting the weather using finite element methods
Modified Augmented Lagrangian (mAL)	Augmented Lagrangian Preconditioner for 3D Incompressible Flow with Moving Boundaries in PETSc
Moving boundaries	Augmented Lagrangian Preconditioner for 3D Incompressible Flow with Moving Boundaries in PETSc
Multi-precision	Two-level Schwarz methods using more subdomains than MPI processes and multi-precision (time, memory and energy investigations)
Multi-project dependencies	Testing the Impact of PETSc in a Multi-project Environment based on GitLab-CI
Multicomponent flows	Finite element algorithms for the irreversible thermodynamics of battery electrolytes
multigrid	Robust Multigrid and Domain Decomposition solvers with Firedrake and PETSc Solving advection equations with PFLARE
Multigrid Methods	Robust Preconditioning for the Boussinesq Equations through Patch-wise Multigrid Smoother
Multigrid preconditioner	A robust and scalable preconditioner for saddle-point problems in an industrial context
Multiphase problem	The challenges of small scales with phase-field models
multiphysics	Scalable assembly of non-conforming model coupling operators between H1, Hcurl, and Hdiv finite element spaces
N
Navier-Stokes	Determination of Navier's slip parameter using variational data assimilation
Navier-Stokes equations	A robust and scalable preconditioner for saddle-point problems in an industrial context
NEPv	Solving Nonlinear Eigenvalue Problems with Eigenvector Dependency (NEPv) with SLEPc
Neural network	Missing Physics Discovery through Fully Differentiable Finite Element-Based Machine Learning
Newton-Krylov-Schwarz	Learning-enhanced Newton-Krylov-Schwarz methods
Next-Gen Batteries	Exploring Next-Gen Batteries for Hybrid-Electric Aviation by Means of Firedrake
Non-standard multigrid cycles	Automated Grammar-based Design of Algebraic Multigrid Methods with Evolutionary Algorithms
Nonlinear preconditioner	Learning-enhanced Newton-Krylov-Schwarz methods
Nonlinear systems	Learning-enhanced Newton-Krylov-Schwarz methods
nonlinear variational problems	Auxiliary gradient flows for generalized Newtonian models
norm-regularization	Extended-Krylov-subspace methods for trust-region and norm-regularization subproblems
Numerical analysis	The challenges of small scales with phase-field models
Numerical Topology Optimization	ML-Assisted Topology Optimization of Thermochemical Heat Storage Reactors with Firedrake
NWP	Forecasting the weather using finite element methods
O
ODE software abstractions	Moving particles in Firedrake
optimisation	Developments and opportunities in G-ADOPT fdvar: Parallel-in-time 4DVar data assimilation in Firedrake
P
p-Laplacian	Auxiliary gradient flows for generalized Newtonian models
parallel	Scalable assembly of non-conforming model coupling operators between H1, Hcurl, and Hdiv finite element spaces
Parallel computing	Modeling the wave-breaking phenomena in 3D using a two-phase flow method implemented in PETSc
parallel-in-time	A comparison of time-parallel deferred correction methods for atmospheric modelling in Gusto
Particle in Cell
Particle tracking	Moving particles in Firedrake
Particle-field coupling	Moving particles in Firedrake
Particles	NESO-Particles and VANTAGE-Reactions: Performance Portable Particles for Modelling Plasma Edge Regions
Patch-wise Preconditioner	Robust Preconditioning for the Boussinesq Equations through Patch-wise Multigrid Smoother
PCHPDDM	Refactoring HPDDM for GPU-Enabled Domain Decomposition
PDE-constrained optimization	Nonlinear superconducting models in Firedrake: optimization, mesh adaptation, and cloud execution
Performance	NESO-Particles and VANTAGE-Reactions: Performance Portable Particles for Modelling Plasma Edge Regions Using profiling to provide performance insights and make improvements to Gusto
PETSc	Formal Reasoning for Mesh Transformation PETSc.jl – a Julia interface to the PETSc library petsctools: Pythonic extensions to petsc4py
PETSc applications	Automated Grammar-based Design of Algebraic Multigrid Methods with Evolutionary Algorithms
PETSc DMDA	Three-Dimensional Free-Surface Flow Simulation around a Ship Hull Using PETSc DMDA
petsc4py	petsctools: Pythonic extensions to petsc4py
PetscRegressor	Distributed Memory Parallel Machine Learning with PetscRegressor
Phase-field model	Modeling the wave-breaking phenomena in 3D using a two-phase flow method implemented in PETSc
physical units	Dimensional analysis in UFL
Portable	NESO-Particles and VANTAGE-Reactions: Performance Portable Particles for Modelling Plasma Edge Regions
Potential-flow water-wave dynamics	Numerical wavetank with a sloping beach: coupling deep- and shallow-water dynamics in Firedrake
Preconditioning	Refactoring HPDDM for GPU-Enabled Domain Decomposition fdvar: Parallel-in-time 4DVar data assimilation in Firedrake
Profiling	Using profiling to provide performance insights and make improvements to Gusto
Program synthesis	Automated Grammar-based Design of Algebraic Multigrid Methods with Evolutionary Algorithms
Python	Back to the Source: Turning Devito into a Bidirectional Compiler
R
regression	Distributed Memory Parallel Machine Learning with PetscRegressor
Rocq	Formal Reasoning for Mesh Transformation
Runge-Kutta methods	Irksome: time-stepping in Firedrake and PETSc
S
Saddle point	A robust and scalable preconditioner for saddle-point problems in an industrial context
Scalability	A robust and scalable preconditioner for saddle-point problems in an industrial context
Scalable Continuous Integration	Testing the Impact of PETSc in a Multi-project Environment based on GitLab-CI
Scale-Resolved Electrochemistry	Exploring Next-Gen Batteries for Hybrid-Electric Aviation by Means of Firedrake
Schur factorisation	A robust and scalable preconditioner for saddle-point problems in an industrial context
Schwarz preconditioner	Modeling the wave-breaking phenomena in 3D using a two-phase flow method implemented in PETSc
Shallow-water surf zone	Numerical wavetank with a sloping beach: coupling deep- and shallow-water dynamics in Firedrake
shifted-linear-systems	Extended-Krylov-subspace methods for trust-region and norm-regularization subproblems
Simulation	Automatic Generation of Matrix-Free Routines for PDE Solvers with Devito via PETSc
SLEPc	Large-scale transmission eigenvalues with FreeFEM Solving Nonlinear Eigenvalue Problems with Eigenvector Dependency (NEPv) with SLEPc
software	Expanding the definition of a finite element
software for time stepping	Irksome: time-stepping in Firedrake and PETSc
solvers	Robust Multigrid and Domain Decomposition solvers with Firedrake and PETSc
structure preservation	Finite elements in time in Irksome
structure-preserving scheme	Helicity-preserving finite element schemes for magnetohydrodynamics
Superconductivity	Nonlinear superconducting models in Firedrake: optimization, mesh adaptation, and cloud execution
SYCL	NESO-Particles and VANTAGE-Reactions: Performance Portable Particles for Modelling Plasma Edge Regions
Symbolic computation	Automatic Generation of Matrix-Free Routines for PDE Solvers with Devito via PETSc
SymPy	Back to the Source: Turning Devito into a Bidirectional Compiler
T
Tidal stream energy	Adjoint-based optimisation problems in the Thetis coastal ocean model
time stepping	A comparison of time-parallel deferred correction methods for atmospheric modelling in Gusto Enforcing bounds constraints in Firedrake
Time-parallelism	fdvar: Parallel-in-time 4DVar data assimilation in Firedrake
Topology Optimization	Topology Optimization Framework for Viscoelastic Full-Waveform Inversion
Transient heat flow	Missing Physics Discovery through Fully Differentiable Finite Element-Based Machine Learning
transmission eigenvalues	Large-scale transmission eigenvalues with FreeFEM
trust-region	Extended-Krylov-subspace methods for trust-region and norm-regularization subproblems
U
Unified Form Language	Dimensional analysis in UFL
unstructured meshes	pyop3: Extending the tensor abstraction to unstructured meshes
unsupervised learning	A data-enhanced preconditioner for high-order finite element discretization of the incompressible Navier-Stokes equations
V
variational inequality	Enforcing bounds constraints in Firedrake
Variationally coupled dynamics	Numerical wavetank with a sloping beach: coupling deep- and shallow-water dynamics in Firedrake
Viscoelastic Medium	Topology Optimization Framework for Viscoelastic Full-Waveform Inversion
Volume of Fluid (VOF)	Three-Dimensional Free-Surface Flow Simulation around a Ship Hull Using PETSc DMDA
W
Wave breaking	Modeling the wave-breaking phenomena in 3D using a two-phase flow method implemented in PETSc
wave-energy device	Smoothed augmented Lagrangian variational principles with energy conservation
weather prediction	A comparison of time-parallel deferred correction methods for atmospheric modelling in Gusto
Z
Zero-shot generalisation	Missing Physics Discovery through Fully Differentiable Finite Element-Based Machine Learning

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