The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)

Adam Kubica

doi:10.4064/am31-4-6

The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)

Applicationes Mathematicae ◽

10.4064/am31-4-6 ◽

2004 ◽

Vol 31 (4) ◽

pp. 443-456 ◽

Cited By ~ 1

Author(s):

Adam Kubica

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Weak Solutions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Very Weak Solutions ◽

Polygonal Domains ◽

The Poisson Equation

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The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part II)

Applicationes Mathematicae ◽

10.4064/am32-1-2 ◽

2005 ◽

Vol 32 (1) ◽

pp. 17-36 ◽

Cited By ~ 1

Author(s):

Adam Kubica

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Weak Solutions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Very Weak Solutions ◽

Polygonal Domains ◽

The Poisson Equation

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A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-006-9095-7 ◽

2006 ◽

Vol 30 (2) ◽

pp. 275-299 ◽

Cited By ~ 1

Author(s):

Zakaria Belhachmi ◽

Andreas Karageorghis

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Element Discretization ◽

The Poisson Equation ◽

Mortar Element

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Symmetric marching technique for the Poisson equation. II. mixed boundary conditions

Applied Mathematics and Computation ◽

10.1016/0096-3003(84)90014-6 ◽

1984 ◽

Vol 15 (2) ◽

pp. 151-163

Author(s):

Kamal K. Bharadwaj ◽

Mohan K. Kadalbajoo ◽

R. Sankar

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

The Poisson Equation

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Solution of a Nonlocal Boundary Value Problem for the Poisson Equation with Mixed Boundary Conditions with the Use of Green's Function

Differential Equations ◽

10.1007/s10625-005-0306-z ◽

2005 ◽

Vol 41 (10) ◽

pp. 1501-1504 ◽

Cited By ~ 4

Author(s):

T. E. Moiseev

Keyword(s):

Boundary Value Problem ◽

Boundary Conditions ◽

Poisson Equation ◽

Green's Function ◽

Mixed Boundary ◽

Boundary Value ◽

Nonlocal Boundary ◽

Mixed Boundary Conditions ◽

Nonlocal Boundary Value Problem ◽

The Poisson Equation

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Existence of Weak Solutions for a Hyperbolic-Parabolic Phase Field System with Mixed Boundary Conditions on Nonsmooth Domains

SIAM Journal on Mathematical Analysis ◽

10.1137/130949099 ◽

2015 ◽

Vol 47 (3) ◽

pp. 2044-2073 ◽

Cited By ~ 3

Author(s):

Christian Heinemann ◽

Christiane Kraus

Keyword(s):

Boundary Conditions ◽

Phase Field ◽

Weak Solutions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Existence Of Weak Solutions ◽

Field System ◽

Nonsmooth Domains ◽

Phase Field System

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Regularity of weak solutions of Maxwell's equations with mixed boundary-conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(19990925)22:14<1255::aid-mma83>3.0.co;2-n ◽

1999 ◽

Vol 22 (14) ◽

pp. 1255-1274 ◽

Cited By ~ 12

Author(s):

Frank Jochmann

Keyword(s):

Boundary Conditions ◽

Weak Solutions ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Regularity Of Weak Solutions

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The Shortley–Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2010.01.021 ◽

2010 ◽

Vol 229 (10) ◽

pp. 3675-3690 ◽

Cited By ~ 22

Author(s):

Z. Jomaa ◽

C. Macaskill

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Poisson Equation ◽

Difference Method ◽

Mixed Boundary ◽

Mixed Boundary Conditions

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On the weak solutions to steady Navier-Stokes equations with mixed boundary conditions

Mathematische Zeitschrift ◽

10.1007/s00209-018-2072-7 ◽

2018 ◽

Vol 291 (1-2) ◽

pp. 47-54 ◽

Cited By ~ 1

Author(s):

Yanren Hou ◽

Shuaichao Pei

Keyword(s):

Boundary Conditions ◽

Weak Solutions ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations

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POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30162-0 ◽

1992 ◽

Vol 12 (3) ◽

pp. 292-303

Author(s):

Ruying Xue

Keyword(s):

Boundary Conditions ◽

Positive Solutions ◽

Elliptic Equations ◽

Mixed Boundary ◽

Nonlinear Elliptic Equations ◽

Mixed Boundary Conditions ◽

Nonlinear Elliptic

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Effects of transverse shear on large deflection random response of symmetric composite laminates with mixed boundary conditions

10.2514/6.1989-1356 ◽

1989 ◽

Cited By ~ 3

Author(s):

C. PRASAD ◽

CHUH MEI

Keyword(s):

Boundary Conditions ◽

Transverse Shear ◽

Composite Laminates ◽

Large Deflection ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Random Response

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