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BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space
The paper presents and analyses the BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space and gives numerical justification....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Influence of mesh geometry to numerical diffusion in upwind scheme for porous media solute transport
We present results of experiments showing the character of numerical diffusion in solute transport model with explicit upwind finite volume scheme, under two influences: perturbation of mesh(small random change of node positions) an...
BK - Mechanika tekutin
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh
We analyze the convergence of the multiplicative Schwarz method applied to nonsymmetric linear algebraic systems obtained from discretizations of one-dimensional singularly perturbed convection-diffusion equations by upwind and central finit...
Applied mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Optimal error estimates for nonstationary singularly perturbed problems for low discretization orders
Nonstationary 1D singularly perturbed convection-diffusion equation is discretized in space by the finite element method on a Shishkin mesh and by time discontinuous Galerkin method. The resulting scheme is analyzed and diffusion-un...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Numerical diffusion -- example of employing the effect of approximation error in numerical computing
and transversal dispersivity coefficients is possible for the case of mesh perturbation (small and characteristic directions of the mesh. Generally, the results confirm the global bound......
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
A Simple and Robust Approach to Computation of Meshes Intersection
Triangular meshes are important in many fields in both basic and applied research that rely on their correctness and accuracy. Many operations with meshes can unusable. Self-intersection and mesh-to-mesh intersecti...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2018 •
- D
Rok uplatnění
D - Stať ve sborníku
AN OPTIMAL UNIFORM A PRIORI ERROR ESTIMATE FOR AN UNSTEADY SINGULARLY PERTURBED PROBLEM
A time dependent convection diffusion problem is discretized by the Galerkin finite element method in space with bilinear elements on a general layer adapted mesh and in time by discontinuous Galerkin method. We present optimal error estimat...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners
Preconditioning for Krylov methods often relies on operator theory when mesh independent estimates are looked for. The goal of this paper is to contribute to the long development of the analysis of superlinear convergence of Krylov iteration...
Applied mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems
in an approximation of singularly perturbed reaction-diffusion problem. The flux reconstruction oscillation term) with respect to any mesh size and any size of the reaction coefficient, including the singularly perturbed l...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Shape Optimization by Particle Swarm Algorithm Utilizing Isogeometric Analysis
the magnitude of perturbation of design variables within PSO using a background mesh. This mesh, however, does not have to comply with requirements on a standard (e.g. FEM) computational mesh, as it does not have ...
JM - Inženýrské stavitelství
- 2012 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
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