Robust Algebraic Multilevel Preconditioners for Anisotropic Problems

2013 ◽  
pp. 217-245
Author(s):  
J. Kraus ◽  
M. Lymbery ◽  
S. Margenov
Keyword(s):  
Multilevel Preconditioners ◽  
Anisotropic Problems

Multilevel Preconditioners with Adaptive Mesh Refinements

2021 ◽  
pp. 307-328
Author(s):  
Ernst P. Stephan ◽  
Thanh Tran
Keyword(s):  
Adaptive Mesh ◽  
Multilevel Preconditioners ◽  
Mesh Refinements

scholarly journals Optimal order multilevel preconditioners for regularized ill-posed problems

2008 ◽  
Vol 77 (264) ◽  
pp. 2001-2038 ◽  
Author(s):  
Andrei Drăgănescu ◽  
Todd F. Dupont
Keyword(s):  
Optimal Order ◽  
Multilevel Preconditioners ◽  
Ill Posed

scholarly journals Entropy Solution for Doubly Nonlinear Elliptic Anisotropic Problems with Robin Boundary Conditions

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
I. Ibrango ◽  
S. Ouaro
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Weak Solutions ◽  
Entropy Solution ◽  
Boundary Value ◽  
Monotone Operators ◽  
Robin Boundary Conditions ◽  
Anisotropic Problems ◽  
Robin Boundary ◽  
Robin Boundary Value Problem

We study in this paper nonlinear anisotropic problems with Robin boundary conditions. We prove, by using the technic of monotone operators in Banach spaces, the existence of a sequence of weak solutions of approximation problems associated with the anisotropic Robin boundary value problem. For the existence and uniqueness of entropy solutions, we prove that the sequence of weak solutions converges to a measurable function which is the entropy solution of the anisotropic Robin boundary value problem.

Effective Radiative Properties of a Cylinder Array

2001 ◽  
Vol 124 (1) ◽  
pp. 198-200 ◽  
Author(s):  
Chongshan Zhang ◽  
Abraham Kribus ◽  
Rami Ben-Zvi
Keyword(s):  
Heat Sinks ◽  
Radiative Properties ◽  
Small Scale ◽  
Plant Canopies ◽  
Cylinder Array ◽  
Anisotropic Problems ◽  
Fibrous Insulation ◽  
Full Solution ◽  
Energy Absorbers ◽  
Radiative Interaction

Fully anisotropic problems are found where the radiative interaction is due to small-scale elements that lack spherical symmetry, for example: fibrous insulation, finned heat sinks, plant canopies, and some solar energy absorbers. We present the effective bulk optical properties of a PM composed of small-scale opaque cylinders. The properties are derived from data generated by detailed Monte-Carlo numerical experiments. The data reduction procedure is relatively simple and does not require a full solution and optimization of the Radiative Transfer Equation. Benchmark cases are presented, comparing an exact solution (with geometric detail of the cylinder array) and an approximate solution using a continuous PM model with the effective volumetric properties.

A nonexistence result for anisotropic problems

Nonlinearity ◽  
2020 ◽  
Vol 33 (12) ◽  
pp. 7040-7053
Author(s):  
Phuong Le ◽  
Kim Anh T Le ◽  
Phuoc Vinh Dinh
Keyword(s):  
Nonexistence Result ◽  
Anisotropic Problems
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