27] --, Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation, J.
SULI, A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation, Comput.
Particularly, for the inhomogeneous biharmonic equation, analogous results are presented in [16,18].
Begehr, Dirichlet problems for the biharmonic equation, Gen.
Thus, we have to solve the biharmonic equation [[DELTA].
The solutions of the above biharmonic equation which do not depends on [theta] (also called radial) satisfy the equation [([[partial derivative].
the controlled heat equation which represents a boundary reaction in diffusion of chemicals , the two dimensional biharmonic equation in a semi-infinite strip [5, 11], dynamic processes in chemical reactors  and deformed Pohlmeyer equation .
GOMILKO, A Dirichlet problem for the biharmonic equation in a semi-infinite strip, J.
PIRONNEAU, Numerical methods for the first biharmonic equation
and for the two-dimensional Stokes problem, SIAM Rev.
additive Schwarz preconditioner, mixed finite elements, biharmonic equation
, domain decomposition, mesh dependent norms
Consider the following variational problem for the biharmonic equation
with homogeneous Dirichlet boundary conditions: Find u [member of] [H.
of Mississippi) discuss the Trefftz method for collocation by describing coupling techniques, biharmonic equations
and combinations of collocation and finite element methods for advanced students in mathematics.