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 …
[PDF][PDF] A unified framework for adaptive BDDC
C Pechstein, CR Dohrmann - Electron. Trans. Numer. Anal, 2017 - etna.math.kent.edu
In this theoretical study, we explore how to automate the selection of weights and primal
constraints in BDDC methods for general SPD problems. In particular, we address the three …
constraints in BDDC methods for general SPD problems. In particular, we address the three …
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 …
Multilevel balancing domain decomposition by constraints deluxe algorithms with adaptive coarse spaces for flow in porous media
Multilevel balancing domain decomposition by constraints (BDDC) deluxe algorithms are
developed for the saddle point problems arising from mixed formulations of Darcy flow in …
developed for the saddle point problems arising from mixed formulations of Darcy flow in …
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 …
Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs
Hessian operators arising in inverse problems governed by partial differential equations
(PDEs) play a critical role in delivering efficient, dimension-independent convergence for …
(PDEs) play a critical role in delivering efficient, dimension-independent convergence for …
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 …
BDDC deluxe algorithms for two-dimensional H (curl) isogeometric analysis
OB Widlund, S Scacchi, LF Pavarino - SIAM Journal on Scientific Computing, 2022 - SIAM
Isogeometric analysis has been introduced as an alternative to finite elements to simplify the
integration of computer-aided design and the discretization of variational problems of …
integration of computer-aided design and the discretization of variational problems of …
Balancing domain decomposition by constraints algorithms for curl-conforming spaces of arbitrary order
Abstract We construct Balancing Domain Decomposition by Constraints methods for the
linear systems arising from arbitrary order, finite element discretizations of the H (curl) model …
linear systems arising from arbitrary order, finite element discretizations of the H (curl) model …