AbstractThe paper presents performance considerations for Krylov space iterative solvers used in hp-adaptive finite element codes. The design of optimal data structures and algorithms in terms of memory requirements and computing efficiency is shown. Preliminary computational results prove the correctness of basic assumptions and indicate the direction of further research
Numerical simulations based on nonlinear partial differential equations (PDEs) using Newton-based me...
The hp version of the finite element method (hp-FEM) combined with adaptive mesh refinement is a par...
This paper provides an overview of data structures suitable for distributed storage of finite elemen...
AbstractThe paper presents performance considerations for Krylov space iterative solvers used in hp-...
Based on iterative methods for the solution of linearized equation systems on parallel computers, da...
The $hp$-adaptive finite element method (FEM) - where one independently chooses the mesh size ($h$) ...
In this work, we report on an ongoing project to implement an hp-adaptive finite element method. The...
The iterative solution schemes are found to be most effective, in particular when they are used in c...
We design and analyze an adaptive hp-finite element method ((Formula presented.)-AFEM) in dimensions...
The hp-version of the finite element method (hp-FEM) is extremely efficient numerical method for sol...
Adaptive-hp methods are those which use a refinement control strategy driven by a local error estima...
AbstractA new hp-adaptive approach for finite element methods is presented. Specifically, the paper ...
Sophisticated methods of automatic adaptivity in finite element methods of higher order of accuracy ...
AbstractAdaptive hp finite-element methods (FEM), in which both grid size h and local polynomial ord...
We introduce an hp-adaptive finite element algorithm based on a combination of reliable and efficien...
Numerical simulations based on nonlinear partial differential equations (PDEs) using Newton-based me...
The hp version of the finite element method (hp-FEM) combined with adaptive mesh refinement is a par...
This paper provides an overview of data structures suitable for distributed storage of finite elemen...
AbstractThe paper presents performance considerations for Krylov space iterative solvers used in hp-...
Based on iterative methods for the solution of linearized equation systems on parallel computers, da...
The $hp$-adaptive finite element method (FEM) - where one independently chooses the mesh size ($h$) ...
In this work, we report on an ongoing project to implement an hp-adaptive finite element method. The...
The iterative solution schemes are found to be most effective, in particular when they are used in c...
We design and analyze an adaptive hp-finite element method ((Formula presented.)-AFEM) in dimensions...
The hp-version of the finite element method (hp-FEM) is extremely efficient numerical method for sol...
Adaptive-hp methods are those which use a refinement control strategy driven by a local error estima...
AbstractA new hp-adaptive approach for finite element methods is presented. Specifically, the paper ...
Sophisticated methods of automatic adaptivity in finite element methods of higher order of accuracy ...
AbstractAdaptive hp finite-element methods (FEM), in which both grid size h and local polynomial ord...
We introduce an hp-adaptive finite element algorithm based on a combination of reliable and efficien...
Numerical simulations based on nonlinear partial differential equations (PDEs) using Newton-based me...
The hp version of the finite element method (hp-FEM) combined with adaptive mesh refinement is a par...
This paper provides an overview of data structures suitable for distributed storage of finite elemen...