Numerical analysis of a space-time continuous Galerkin method for the nonlinear Sobolev equation

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

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Superconvergence of an \(H^1\)-Galerkin nonconforming mixed finite element method for a parabolic equation
Weak Galerkin finite element methods for Sobolev equation
Characteristic finite element methods for nonlinear Sobolev equations
Discontinuous Galerkin finite element methods for second order hyperbolic problems
Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations
Certain non-steady flows of second-order fluids
On a theory of heat conduction involving two temperature
Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation
An expanded mixed covolume method for Sobolev equation with convection term on triangular grids
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
Error estimates for a discontinuous Galerkin method with interior penalties applied to nonlinear Sobolev equations
Continuous Finite Elements in Space and Time for the Heat Equation
Numerical Solution of Sobolev Partial Differential Equations
Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method
A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method
Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations
A continuous space-time finite element method for the wave equation
Superconvergence analysis of a linearized three‐step backward differential formula finite element method for nonlinear Sobolev equation

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