| EPSRC Reference: |
GR/M26459/01 |
| Title: |
ADAPTIVE METHODS FOR COMPUTATIONAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS |
| Principal Investigator: |
Sloan, Professor D |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematics and Statistics |
| Organisation: |
University of Strathclyde |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 November 1998 |
Ends: |
31 October 2001 |
Value (£): |
112,847
|
| EPSRC Research Topic Classifications: |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
Adaptive grid methods have become valuable techniques for the computational solution of PDE's. For problems in one space dimesion, the mathematical understanding is advanced, and significant progress has been made in algorithm development. In 2D, the mathematical understanding might well bedescribed as rudimentary.We shall try to form a framework that will give mathematical control of adaptive mesh generation in 2D. |The main purpose is to utilise our increased understanding to enable us to produce solutions of steady and unsteady problems that satisfy a specified error tolerance. The aim is to construct good quality meshes and approximate solutions in an efficient manner. The study will cover smoothing, mesh quality, nonlinear solvers, time-step control. To demostrate the usefulness of our methods we shall test them on challenging convection-diffusion and reaction-diffusion model problems.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.strath.ac.uk |