Operator splitting for abstract Cauchy problems with dynamical boundary conditions
DOI10.7153/oam-2021-15-60OpenAlexW3204022929MaRDI QIDQ5072457
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Publication date: 28 April 2022
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.13503
error boundoperator splittingTrotter productabstract dynamical boundary problemsLie and Strang splitting
One-parameter semigroups and linear evolution equations (47D06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Linear differential equations in abstract spaces (34G10) Applications of operator theory in numerical analysis (47N40) Numerical solutions to abstract evolution equations (65J08)
Cites Work
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- Operator splitting for nonautonomous delay equations
- A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains
- On the nature of the Laplace-Beltrami operator on Lipschitz manifolds
- Operator splitting for non-autonomous evolution equations
- Weighted sequential splittings and their analysis
- Operator splitting for delay equations
- High order splitting methods for analytic semigroups exist
- Spectral theory and generator property for one-sided coupled operator matrices
- A semigroup approach to boundary feedback systems
- An analysis of operator splitting techniques in the stiff case
- Error bounds for exponential operator splittings
- Convergence of finite elements on an evolving surface driven by diffusion on the surface
- Operator splitting for dissipative delay equations
- A PDAE formulation of parabolic problems with dynamic boundary conditions
- Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations
- Stability and convergence of product formulas for operator matrices
- Strang splitting for a semilinear Schrödinger equation with damping and forcing
- Difference potentials method for models with dynamic boundary conditions and bulk-surface problems
- Convergence of an ADI splitting for Maxwell's equations
- Structure-preserving finite difference schemes for the Cahn-Hilliard equation with dynamic boundary conditions in the one-dimensional case
- A splitting approach for the magnetic Schrödinger equation
- Dimension splitting for evolution equations
- The functional calculus for sectorial operators
- On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and boundary penalization
- On the Convergence Rate ofOperator Splitting for Hamilton--Jacobi Equations with Source Terms
- Iterative Splitting Methods for Differential Equations
- Survey of the stability of linear finite difference equations
- On the Product of Semi-Groups of Operators
- Dimension splitting for quasilinear parabolic equations
- Theoretical Numerical Analysis
- Operator splitting for abstract Cauchy problems
- One-Parameter Semigroups for Linear Evolution Equations
- Numerical analysis of parabolic problems with dynamic boundary conditions
- Operator splitting for partial differential equations with Burgers nonlinearity
- Finite element error analysis of wave equations with dynamic boundary conditions:L2 estimates
- Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions
- Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schr\"odinger Operators on Bounded Lipschitz Domains
- Some application of splitting-up methods to the solution of mathematical physics problems
- On the Construction and Comparison of Difference Schemes
- Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions
- Analytic semigroups and optimal regularity in parabolic problems
