Mesh Methods—Numerical Analysis and Experiments II
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (31 December 2023) | Viewed by 3025
Special Issue Editor
Interests: boundary value problems with singularity; numerical methods in electrodynamics; hydrodynamics and theory of elasticity
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Mathematical models of different natural processes are described by the differential equations, systems of PDEs and integral equations. In most cases, it turns out that the exact solution of such problems cannot be determined, so we have to use mesh methods to calculate approximate solutions using high-performance computational complexes. First of all, these methods include the finite element method, the finite difference method, the finite volume method and the combined methods.
In this Special Issue, it is proposed to publish qualitative works on theoretical studies of grid methods on the approximation, stability, and convergence, as well as the results of numerical experiments confirming the effectiveness of the developed methods. New methods for boundary value problems with singularity, with the complex geometry of the domain boundary and for non-linear equations are under particular interest. Articles concerning the analysis of the numerical methods developed for the computation of the mathematical models in different areas of applied science and engineering applications will be welcome.
As a rule, symmetry ideas are present in the computational schemes and make the process harmonic and effective.
Prof. Dr. Viktor A. Rukavishnikov
Guest Editor
Manuscript Submission Information
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Keywords
- finite element method
- difference method
- finite volume method
- numerical experiments
- numerical analysis
- corner singularity
- symmetry
