Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints
DOI10.1016/j.cam.2022.114946zbMath1503.65228OpenAlexW4309080176MaRDI QIDQ2104107
Dennis Groh, Caren Tischendorf
Publication date: 9 December 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114946
convergenceerror analysisdifferential algebraic equationelliptic PDE constraintGalerkin BDF discretization
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential-algebraic equations. A projector based analysis
- Convergence analysis of a partial differential algebraic system from coupling a semiconductor model to a circuit model
- Structural analysis of electrical circuits including magnetoquasistatic devices
- Indexes and special discretization methods for linear partial differential algebraic equations
- Operator differential-algebraic equations arising in fluid dynamics
- High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models
- Model order reduction for gas and energy networks
- Mathematical modeling, simulation and optimization for power engineering and management
- An Existence Result for Index-2 PDAE System Arising in Semiconductor Modeling
- Generalized Multilevel SQP-methods for PDAE-constrained Optimization Based on Space-Time Adaptive PDAE Solvers
- Elliptic Partial Differential-Algebraic Multiphysics Models in Electrical Network Design
- Modeling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems
- Structural analysis of electric circuits and consequences for MNA
- Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations
- On Structure-Preserving Model Reduction for Damped Wave Propagation in Transport Networks
- Exponential Integrators for Semi-linear Parabolic Problems with Linear Constraints
- Mathematical Analysis and Simulation of Field Models in Accelerator Circuits
- A Unified (P)DAE Modeling Approach for Flow Networks
- Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
- Parabolic Differential-Algebraic Models in Electrical Network Design
- Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems
- Ordinary Differential Equations
- Finite elements. Theory, fast solvers and applications in elasticity theory
This page was built for publication: Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints
