Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data
Resolvent estimates in for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.
Parabolic Difference Operators.
Estimates of the Friedrichs -Lewy type for a hyperbolic equation with three characteristics
Locally Cogent Boundary Operators.
Existence Proofs for Mixed Problems for Hyperbolic Differential Equations in Two Independent Variables by Means of the Continuity Method.
Estimates of the Friedrichs-Lewy type for mixed problems in the theory of linear hyperbolic differential equations in two independent variables
Error estimates for some mixed finite element methods for parabolic type problems
On the Rate of Convergence for Discrete Initial-Value Problems.
Stability and Convergence Rates in Lp for Certain Difference Schemes.
Estimates Near Discontinuities for Some Difference Schemes.
Single step methods for inhomogeneous linear differential equations in Banach space
Time discretization of parabolic problems by the discontinuous Galerkin method
Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations
In recent years several papers have been devoted to stability and smoothing properties in maximum-norm of finite element discretizations of parabolic problems. Using the theory of analytic semigroups it has been possible to rephrase such properties as bounds for the resolvent of the associated discrete elliptic operator. In all these cases the triangulations of the spatial domain has been assumed to be quasiuniform. In the present paper we show a resolvent estimate, in one and two space dimensions,...
Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations
In recent years several papers have been devoted to stability and smoothing properties in maximum-norm of finite element discretizations of parabolic problems. Using the theory of analytic semigroups it has been possible to rephrase such properties as bounds for the resolvent of the associated discrete elliptic operator. In all these cases the triangulations of the spatial domain has been assumed to be quasiuniform. In the present paper we show a resolvent estimate, in one and two space dimensions, under...
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