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34 516 (0,199s)

Result

Fuzzy transform algorithm based on high-resolution compact discretization for three-dimensional nonlinear elliptic PDEs and convection–diffusion equations

and applies to a comprehensive class of partial differential equations with nonlinear first-order partial derivatives. Numerical simulations with Helmholtz equation, advection–diffusion–reaction equation, and nonl...

Applied mathematics

  • 2023
  • Jimp
  • Link
Result

Finite element approximation for time-dependent diffusion with measure-valued source

The convergence of finite element methods for elliptic and parabolic partial differential equations is well-established if source terms are sufficiently smooth. Noting prove new convergence order results in two and three dimensions ...

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

On the Stability in the Finite Element Solution of the Navier-Stokes Equations for Incompressible Flows

We consider the Navier-Stokes equations for the incompressible fluid flow. In the paper we first discuss the concept of stability for an elliptic problem. Then we consider the Stokes problem. Stability is then dicussed for the advec...

BA - Obecná matematika

  • 2003
  • D
Result

A high-resolution fuzzy transform combined compact scheme for 2D nonlinear elliptic partial differential equations

two-dimensional nonlinear elliptic partial differential equations (PDEs elliptical PDEs arising from quantum mechanics and convection-dominated diffusion to Schrodinger equation, convection-diffusion<...

Pure mathematics

  • 2023
  • Jimp
  • Link
Result

Generalized G-convergence for quasilinear elliptic differential operators

Generalized G-convergence for quasilinear elliptic equations is defined and studied. A theory is applied for the homogenization of quasilinear elliptic differential equations with periodic coeffitients....

BA - Obecná matematika

  • 2008
  • Jx
Result

Parabolic logistic equation with harvesting involving the fractional Laplacian

This paper deals with a class of parabolic reaction-diffusion equations driven by the fractional Laplacian as the diffusion operator over a bounded domain with zero Dirichlet external condition. Using a comparison principle...

Applied mathematics

  • 2024
  • Jimp
  • Link
Result

Equivalence between lowest-order mixed finite element and multi-point finite volume methods. Derivation, properties, and numerical experiments

We consider the lowest-order Raviart--Thomas mixed finite element method for elliptic diffusion problems on simplicial meshes in two or three space dimensions. This method produces saddle-point problems for scalar and flux unknowns....

BA - Obecná matematika

  • 2005
  • D
Result

hp-FEM Solver PARSYS_2D and Applications to Electrostatics

Nonlinear elliptic and parabolic problems arise in many important applications in electromagnetics, chemistry, modeling of diffusion and heat transfer processes and other fields. We present a higher-order finite element (hp-FEM) sol...

JA - Elektronika a optoelektronika, elektrotechnika

  • 2004
  • D
Result

On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities

We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions....

BA - Obecná matematika

  • 2002
  • Jx
Result

Volume of elliptical rings with elliptical and circular cross-sections

are described by parametric equations. We also present an example of calculation the volume of elliptical rings with elliptical and circular cross-sections. Calculated results are compared with formulas for volume of a tor...

BA - Obecná matematika

  • 2012
  • D
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