hw6_09 - 04/12/09 EP 471 Homework #6: Elliptic PDEs Each...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 04/12/09 EP 471 Homework #6: Elliptic PDEs Each problem is equally weighted: (1) Consider the following elliptic partial differential equation: 2 2 2 2 2 2 = + x u y u x u , Solve this problem over the unit square, 1 x , 1 y , subject to u = 0 on all boundaries. Approximate all derivatives with centrally-differenced expressions. You may use either a direct solution (simultaneous system of equations) or an iterative solution. Find the peak value of u within the domain. (2) In Exercises 16 and 17, we looked at solutions to Laplaces Equation in a rectangular plate over the domain m 5 . ; m 1 y x with the temperature equal to zero C along three edges and a non-zero temperature of 100 C on one edge. Suppose we modify this problem in two ways: well incorporate a spatially-dependent heat source to turn Laplaces Equation into Poissons Equation, and well incorporate convective boundary conditions along the three edges...
View Full Document

This note was uploaded on 01/30/2012 for the course ENGINEERIN 471 taught by Professor Witt during the Spring '08 term at Wisconsin.

Page1 / 2

hw6_09 - 04/12/09 EP 471 Homework #6: Elliptic PDEs Each...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online