A conforming finite element method with Lagrange multipliers for the biharmonic problem
A Conjugate Gradient Method and a Multigrid Algorithm for Morley' s Finite Element Approximation of the Biharmonic Equation.
A family of finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
A fast solver for the first biharmonic boundary value problem.
A general theory of integral transforms and its applications
A mixed finite element method for the biharmonic problem
A mixed-Lagrange multiplier finite element method for the polyharmonic equation
A Multilevel Algorithm for the Biharmonic Problem.
A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells.
A Potential Method for the Biharmonic Equation.
A representation formula for radially weighted biharmonic functions in the unit disc.
A Riesz representation formula for super-biharmonic functions.
Almansi decompositions for polyharmonic, polyheat, and polywave functions
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.
An inverse problem for biharmonic equation.
An Optimal Order Multigrid Method for Biharmonic, C1 Finite Element Equations.
Behavior of biharmonic functions on Wiener's and Royden's compactifications
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
approximations of convex, subharmonic, and plurisubharmonic functions
Comportement des fonctions biharmoniques là où l'intégrale d'aire est finie