Rate optimality of adaptive finite element methods with respect to overall computational costs
We consider adaptive finite element methods for second-order elliptic PDEs, where the
arising discrete systems are not solved exactly. For contractive iterative solvers, we …
arising discrete systems are not solved exactly. For contractive iterative solvers, we …
Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements
We analyze a multilevel diagonal additive Schwarz preconditioner for the adaptive coupling
of FEM and BEM for a linear 2D Laplace transmission problem. We rigorously prove that the …
of FEM and BEM for a linear 2D Laplace transmission problem. We rigorously prove that the …
Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations
For the non-preconditioned Galerkin matrix of the hypersingular integral operator, the
condition number grows with the number of elements as well as the quotient of the maximal …
condition number grows with the number of elements as well as the quotient of the maximal …
Stable multilevel splittings of boundary edge element spaces
We establish the stability of nodal multilevel decompositions of lowest-order conforming
boundary element subspaces of the trace space H^-12(div_\varGamma,\varGamma) of …
boundary element subspaces of the trace space H^-12(div_\varGamma,\varGamma) of …
[PDF][PDF] Zur Kopplung von finiten Elementen und Randelementen
T Führer - 2014 - mat.uc.cl
Für nichtlineare Laplace-und Lamé-Transmissionsprobleme betrachten wir die
symmetrische als auch verschiedene Varianten der nicht-symmetrischen Kopplung von FEM …
symmetrische als auch verschiedene Varianten der nicht-symmetrischen Kopplung von FEM …
BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines
We present the construction of additive multilevel preconditioners, also known as BPX
preconditioners, for the solution of the linear system arising in isogeometric adaptive …
preconditioners, for the solution of the linear system arising in isogeometric adaptive …
[HTML][HTML] Adaptive finite element analysis of elliptic problems based on bubble-type local mesh generation
A new mesh adaptivity algorithm that combines a posteriori error estimation with bubble-type
local mesh generation (BLMG) strategy for elliptic differential equations is proposed. The …
local mesh generation (BLMG) strategy for elliptic differential equations is proposed. The …
[HTML][HTML] Optimal additive Schwarz methods for the hp-BEM: the hypersingular integral operator in 3D on locally refined meshes
We propose and analyze an overlap** Schwarz preconditioner for the p and hp boundary
element method for the hypersingular integral equation in 3D. We consider surface …
element method for the hypersingular integral equation in 3D. We consider surface …
An improved multigrid algorithm for n-irregular meshes with subspace correction smoother
We propose a multigrid V-cycle algorithm for locally refined meshes with arbitrary hanging
node configurations. Unlike existing algorithms that perform smoothing only on a subspace …
node configurations. Unlike existing algorithms that perform smoothing only on a subspace …
Local multilevel methods for adaptive finite element methods for nonsymmetric and indefinite elliptic boundary value problems
In this paper, we propose some local multilevel algorithms for solving linear systems arising
from adaptive finite element approximations of nonsymmetric and indefinite elliptic boundary …
from adaptive finite element approximations of nonsymmetric and indefinite elliptic boundary …