Multiphysics simulations: Challenges and opportunities
We consider multiphysics applications from algorithmic and architectural perspectives,
where “algorithmic” includes both mathematical analysis and computational complexity, and …
where “algorithmic” includes both mathematical analysis and computational complexity, and …
Linear and nonlinear solvers for variational phase‐field models of brittle fracture
The variational approach to fracture is effective for simulating the nucleation and
propagation of complex crack patterns but is computationally demanding. The model is a …
propagation of complex crack patterns but is computationally demanding. The model is a …
A computational architecture for coupling heterogeneous numerical models and computing coupled derivatives
One of the challenges in computational modeling is coupling models to solve
multidisciplinary problems. Flow-based computational frameworks alleviate part of the …
multidisciplinary problems. Flow-based computational frameworks alleviate part of the …
An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier--Stokes equations at high Reynolds number
In [M. Benzi and MA Olshanskii, SIAM J. Sci. Comput., 28 (2006), pp. 2095--2113] a
preconditioner of augmented Lagrangian type was presented for the two-dimensional …
preconditioner of augmented Lagrangian type was presented for the two-dimensional …
Toward performance-portable PETSc for GPU-based exascale systems
Abstract The Portable Extensible Toolkit for Scientific computation (PETSc) library delivers
scalable solvers for nonlinear time-dependent differential and algebraic equations and for …
scalable solvers for nonlinear time-dependent differential and algebraic equations and for …
Solver composition across the PDE/linear algebra barrier
The efficient solution of discretizations of coupled systems of partial differential equations
(PDEs) is at the core of much of numerical simulation. Significant effort has been expended …
(PDEs) is at the core of much of numerical simulation. Significant effort has been expended …
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity
In this work, we address the implementation and performance of inexact Newton–Krylov and
quasi-Newton algorithms, more specifically the BFGS method, for the solution of the …
quasi-Newton algorithms, more specifically the BFGS method, for the solution of the …
pTatin3D: High-performance methods for long-term lithospheric dynamics
Simulations of long-term lithospheric deformation involve post-failure analysis of high-
contrast brittle materials driven by buoyancy and processes at the free surface. Geodynamic …
contrast brittle materials driven by buoyancy and processes at the free surface. Geodynamic …
[HTML][HTML] Experimental and numerical methods to ensure comprehensible and replicable alternating current electrical stimulation experiments
J Zimmermann, F Sahm, N Arbeiter, H Bathel, Z Song… - …, 2023 - Elsevier
Electrical stimulation has received increasing attention for decades for its application in
regenerative medicine. Applications range from bone growth stimulation over cartilage …
regenerative medicine. Applications range from bone growth stimulation over cartilage …
Efficient mesh management in Firedrake using PETSc DMPlex
The use of composable abstractions allows the application of new and established
algorithms to a wide range of problems, while automatically inheriting the benefits of well …
algorithms to a wide range of problems, while automatically inheriting the benefits of well …