A new patch up technique for elliptic partial differential equation with irregularities
DOI10.1016/j.cam.2021.113975zbMath1491.65156OpenAlexW4200480627WikidataQ114201929 ScholiaQ114201929MaRDI QIDQ2075944
Suruchi Singh, Swarn Singh, Zhilin Li
Publication date: 16 February 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.2021.113975
interfacejump conditionselliptic partial differential equationcubic spline collocationirregularitiespatch up technique
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)
Cites Work
- Improved volume conservation in the computation of flows with immersed elastic boundaries
- Numerical analysis of blood flow in the heart
- New Cartesian grid methods for interface problems using the finite element formulation
- Accurate gradient computations at interfaces using finite element methods
- On error bounds for spline interpolation
- The finite element method for elliptic equations with discontinuous coefficients
- Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
- On calculating with B-splines
- Simplified immersed interface methods for elliptic interface problems with straight interfaces
- High-order difference schemes for two-dimensional elliptic equations
- Bicubic Spline Interpolation
- A Collocation Method for Two-Point Boundary Value Problems
- A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- A Fast Iterative Algorithm for Elliptic Interface Problems
- Error Bounds for Interpolating Cubic Splines Under Various End Conditions
- A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation
- Fast High Order Accurate Solution of Laplace’s Equation on Irregular Regions
- A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients
- The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
- Some Collocation Methods for Nonlinear Boundary Value Problems
