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Pointwise a posteriori error analysis for an adaptive penalty finite element
Integral equations of the linear sloshing in an infinite chute and their
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A. A. Samarskii Academy of Sciences algorithm analogous analysis applied approximation assume assumptions Belarus boundary conditions boundary value problem bounded coefficients Computational constant convergence rate corresponding decomposition defined denote Department of Mathematics derivative differential equations discrete discretization error domain E-mail e-uniform eigenvalues error estimate finite difference method finite difference scheme finite element method formula function hierarchical Hilbert space inequality inner product Institute of Mathematics integral interpolation iterative L2-norm least-squares Lemma Math Mathematics Subject Classification matrix maximum norm model problem monotone Moscow multigrid multigrid method nonlinear nonuniform Note numerical methods obtain operator-difference schemes parabolic parameter piecewise polynomial priori estimate problem 1.1 proof properties prove quadrature representation right-hand side Russian satisfies Sciences of Belarus second order Section selfadjoint semigroup singular smooth Sobolev space solution of problem solving sparse grid spatial stability term Theorem 3.1 theory uniform mesh vector