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Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
Second kind integral equation Dirichlet problem Biharmonic equation
2015/7/14
A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on th...
Biharmonic Equation and an Improved Hardy Inequality
Biharmonic equation Hardy inequality nontrivial solution
2007/12/12
An improved Hardy inequality will be proven in thepresent work. Using the improved Hardy inequality and variationaltechniques, we also discuss the existence of nontrivial solutionfor following the we...
he paper considers the $L^\infty$ convergence for
TRUNC finite elements solving the boundary value problems of the
biharmonic equation. The nearly optimal $L^\infty$ estimates for
the error of firs...