MFEM: A modular finite element methods library
MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite
element methods that features arbitrary high-order finite element meshes and spaces …
element methods that features arbitrary high-order finite element meshes and spaces …
D3M: A deep domain decomposition method for partial differential equations
A state-of-the-art deep domain decomposition method (D3M) based on the variational
principle is proposed for partial differential equations (PDEs). The solution of PDEs can be …
principle is proposed for partial differential equations (PDEs). The solution of PDEs can be …
BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields
A BDDC domain decomposition preconditioner is defined by a coarse component,
expressed in terms of primal constraints, a weighted average across the interface between …
expressed in terms of primal constraints, a weighted average across the interface between …
Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners
Isogeometric analysis has been introduced as an alternative to finite element methods in
order to simplify the integration of computer-aided design (CAD) software and the …
order to simplify the integration of computer-aided design (CAD) software and the …
BDDC preconditioners for virtual element approximations of the three-dimensional Stokes equations
The virtual element method (VEM) is a novel family of numerical methods for approximating
partial differential equations on very general polygonal or polyhedral computational grids …
partial differential equations on very general polygonal or polyhedral computational grids …
Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form
Abstract The Virtual Element Method (VEM) is a recent numerical technology for the solution
of partial differential equations on computational grids constituted by polygonal or …
of partial differential equations on computational grids constituted by polygonal or …
[HTML][HTML] Parallel block preconditioners for three-dimensional virtual element discretizations of saddle-point problems
Several physical phenomena are described by systems of partial differential equations
(PDEs) that, after space discretization, yield the solution of saddle point algebraic linear …
(PDEs) that, after space discretization, yield the solution of saddle point algebraic linear …
[HTML][HTML] Parallel solvers for virtual element discretizations of elliptic equations in mixed form
The aim of this paper is twofold. On the one hand, we numerically test the performance of
mixed virtual elements in three dimensions to solve the mixed formulation of three …
mixed virtual elements in three dimensions to solve the mixed formulation of three …
[HTML][HTML] Robust discretization and solvers for elliptic optimal control problems with energy regularization
U Langer, O Steinbach, H Yang - Computational Methods in Applied …, 2022 - degruyter.com
We consider elliptic distributed optimal control problems with energy regularization. Here the
standard L 2-norm regularization is replaced by the H-1-norm leading to more focused …
standard L 2-norm regularization is replaced by the H-1-norm leading to more focused …
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity
A block FETI–DP/BDDC preconditioner for mixed formulations of almost incompressible
elasticity is constructed and analyzed; FETI–DP (Finite Element Tearing and Interconnecting …
elasticity is constructed and analyzed; FETI–DP (Finite Element Tearing and Interconnecting …