scispace - formally typeset

Topic

Free boundary problem

About: Free boundary problem is a(n) research topic. Over the lifetime, 15390 publication(s) have been published within this topic receiving 274687 citation(s).


Papers
More filters
Book
01 Apr 1985
Abstract: Foreword Preface 1. Sobolev spaces 2. Regular second-order elliptic boundary value problems 3. Second-order elliptic boundary value problems in convex domains 4. Second-order boundary value problems in polygons 5. More singular solutions 6. Results in spaces of Holder functions 7. A model fourth-order problem 8. Miscellaneous Bibliography Index.

4,904 citations

Journal ArticleDOI
Abstract: The boundary-value problem is discretized on several grids (or finite-element spaces) of widely different mesh sizes. Interactions between these levels enable us (i) to solve the possibly nonlinear system of n discrete equations in 0(n) operations (40n additions and shifts for Poisson problems); (ii) to conveniently adapt the discretization (the local mesh size, local order of approximation, etc.) to the evolving solution in a nearly optimal way, obtaining \"°°-order\" approximations and low n, even when singularities are present. General theoretical analysis of the numerical process. Numerical experiments with linear and nonlinear, elliptic and mixed-type (transonic flow) problemsconfirm theoretical predictions. Similar techniques for initial-value problems are briefly

2,923 citations

Book
01 Jan 1987
Abstract: Part 1 Hypergeometric Functions and Elliptic Integrals: Some Basic Topics In Analytical Dynamics The Problem of Two Bodies Two-Body Orbits and the Initial-Value Problem Solving Kepler's Equation Two-Body Orbital Boundary Value Problem Solving Lambert's Problem Appendices Part 2 Non-Keplerian Motion: Patched-Conic Orbits and Perturbation Methods Variation of Parameters Two-Body Orbital Transfer Numerical Integration of Differential Equations The Celestial Position Fix Space Navigation Appendices

1,997 citations

Book
01 Jan 1984
Abstract: 1. Moving boundary problems: formulation 2. Free boundary problems: formulation 3. Analytical solutions 4. Front-tracking methods 5. Front-fixing methods 6. Fixed-domain methods 7. Analytical solution of seepage problems 8. Numerical solution of free boundary problems References Author index Subject index

1,880 citations

Network Information
Related Topics (5)
Partial differential equation

70.8K papers, 1.6M citations

94% related
Differential equation

88K papers, 2M citations

90% related
Boundary value problem

145.3K papers, 2.7M citations

88% related
Bounded function

77.2K papers, 1.3M citations

88% related
Eigenvalues and eigenvectors

51.7K papers, 1.1M citations

85% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20226
2021141
2020154
2019148
2018200
2017401