Question

Answer #1

EM 4123/6123: Introduction to Finite Element Methods: Assignment 2 Assigned: Jan. 23, 2019, Due: Jan 30, 2019, 11.00am 20 Points per problem. Total: 60 Points Derive the weak form of the variational statement for each of the following boundary value problems NOTE: Show all steps of derivation NOTE: Identify the conditions on the variation that are consistent with the specified boundary con- ditions. (Hint: the variation cannot be arbitrary where the value of solution is specified) 1. Poisson's equation dx 2. Convection-diffusion-reaction equation, where k is the coefficient of diffusion, c is the convec- tion velocity, and r is the reaction coefficient d,du du(1) 3. Bernoulli-beam bending equation, where k is the section bending rigidity: dr3

Answer 1