Results 21 to 30 of about 267 (138)

A generalization on the solvability of integral geometry problems along plane curves [PDF]

, 2013
This paper is concerned with a general condition for the solvability of integral geometry problems along the plane curves of given curvatures. As two important results, the solvabilities of integral geometry problems along the family of circles with ...
Zekeriya Ustaoglu
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Finite Element Methods for the Incompressible Stokes Equations with Variable Viscosity

, 2020
Key words Incompressible Stokes equations, variable viscosity, finite element error analysis, dependency on the viscosity. MSC (2010) 65N30 Finite element error estimates are derived for the incompressible Stokes equations with variable viscosity.
Kristine Kaiser, Volker John, Julia Novo
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Analyzing nonlinear Schrödinger equations by the complex variable element-free Galerkin method

Open Mathematics
This article proposes a complex variable element-free Galerkin (CVEFG) method for analyzing the nonlinear Schrödinger (NLS) equation. A second-order accurate scheme is presented to achieve temporal discretization and linearize the nonlinear term, and the
Liu ZhiXiu
doaj   +1 more source

Regularity results for p-Laplacians in pre-fractal domains

Advances in Nonlinear Analysis, 2018
We study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal
Capitanelli Raffaela, Fragapane Salvatore, Vivaldi Maria Agostina   +2 more
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A comparison of two nonconforming finite element methods for linear three-field poroelasticity

Demonstratio Mathematica
We present and analyze two kinds of nonconforming finite element methods for three-field Biot’s consolidation model in poroelasticity. We employ the Crouzeix-Raviart element for one of the displacement component and conforming linear element for the ...
Guo Jun, Shi Yanchao, Luo Weihua
doaj   +1 more source

© Hindawi Publishing Corp. RESOLVENT ESTIMATES OF ELLIPTIC DIFFERENTIAL AND FINITE-ELEMENT OPERATORS IN PAIRS OF FUNCTION SPACES

, 2003
We present some resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces, for which the first space in a pair is endowed with stronger norm. In this work we deal with estimates in (Lebesgue, Lebesgue), (Hölder,
Nikolai Yu. Bakaev
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NUMERICAL HOMOGENIZATION OF FRACTAL INTERFACE PROBLEMS [PDF]

, 2020
We consider the numerical homogenization of a class of fractal elliptic interface problems inspired by related mechanical contact problems from the geosciences. A particular feature is that the solution space depends on the actual fractal geometry. Our
YSERENTANT, HARRY, KORNHUBER, RALF, PODLESNY, JOSCHA   +2 more
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A Basic Norm Equivalence for the Theory of Multilevel Methods.

, 1992
Subspace decompositions of finite element spaces based on $L2$-like orthogonal projections play an important role for the construction and analysis of multigrid like iterative methods.
Bornemann, Folkmar A., Yserentant, Harry
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Lower bounds of two-level additive Schwarz preconditioners with small overlap

, 1998
Summary. Lower bounds for the condition numbers of the preconditioned systems are obtained for two-level additive Schwarz preconditioners for both second order and fourth order problems.
Susanne C. Brenner
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DUAL FUNCTIONS FOR A PARALLEL ADAPTIVE METHOD

, 2008
. In this paper, we investigate the effects of pollution error on the performance of the parallel adaptive finite element technique proposed by Bank and Holst in 2000.
Randolph E. Bank, S. Ovall, Jeffrey
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