A conforming finite element method with Lagrange multipliers for the biharmonic problem
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A Conjugate Gradient Method and a Multigrid Algorithm for Morley' s Finite Element Approximation of the Biharmonic Equation.
D. Braess, P. Peisker (1986/1987)
Numerische Mathematik
A family of finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
Jim Jr. Douglas, Todd Dupont, Peter Percell, Ridgway Scott (1979)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
A fast solver for the first biharmonic boundary value problem.
Ulrich Langer, Dieter Bahlmann (1992)
Numerische Mathematik
A general theory of integral transforms and its applications
S. Saitoh (1985)
Matematički Vesnik
A mixed finite element method for the biharmonic problem
T. Scapolla (1980)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
A mixed-Lagrange multiplier finite element method for the polyharmonic equation
James H. Bramble, Richard S. Falk (1985)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
A Multilevel Algorithm for the Biharmonic Problem.
Petra Peisker (1985)
Numerische Mathematik
A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells.
Boutaleb, Mohamed (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A Potential Method for the Biharmonic Equation.
S. Kesavan (1984)
Numerische Mathematik
A representation formula for radially weighted biharmonic functions in the unit disc.
Anders Olofsson (2005)
Publicacions Matemàtiques
A Riesz representation formula for super-biharmonic functions.
Abkar, Ali, Hedenmalm, Håkan (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
Almansi decompositions for polyharmonic, polyheat, and polywave functions
Guangbin Ren, Uwe Kähler (2006)
Studia Mathematica
We construct Almansi decompositions for a class of differential operators, which include powers of the classical Laplace operator, heat operator, and wave operator. The decomposition is given in a constructive way.
An infinite-harmonic analogue of a Lelong theorem and infinite-harmonicity cells.
Boutaleb, Mohammed (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
An inverse problem for biharmonic equation.
Ramm, A.G. (1988)
International Journal of Mathematics and Mathematical Sciences
An Optimal Order Multigrid Method for Biharmonic, C1 Finite Element Equations.
Shangyou Zhang (1989/1990)
Numerische Mathematik
Behavior of biharmonic functions on Wiener's and Royden's compactifications
Y. K. Kwon, Leo Sario, Bertram Walsh (1971)
Annales de l'institut Fourier
Let be a smooth Riemannian manifold of finite volume, its Laplace (-Beltrami) operator. Canonical direct-sum decompositions of certain subspaces of the Wiener and Royden algebras of are found, and for biharmonic functions (those for which ) the decompositions are related to the values of the functions and their Laplacians on appropriate ideal boundaries.
BMO estimates for biharmonic multiple layer potentials
Jonathan Cohen (1988)
Studia Mathematica
approximations of convex, subharmonic, and plurisubharmonic functions
R. E. Greene, H. Wu (1979)
Annales scientifiques de l'École Normale Supérieure
Comportement des fonctions biharmoniques là où l'intégrale d'aire est finie
Jean Brossard (1979)
Annales scientifiques de l'Université de Clermont. Mathématiques
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