2nd  Top partial differential equation topics 
Question 1: The finiteelement method originated from the need for solving complex elasticity and structural analysis problems in civil and ________.  

Question 2: For problems that are not too large, sparse LU decompositions and ________ still work well.  

Question 3: solving for deformation and stresses in solid bodies or dynamics of structures) while ________ (CFD) tends to use FDM or other methods like finite volume method (FVM).  

Question 4: For instance, ________'s backslash operator (which uses sparse LU, sparse Cholesky, and other factorization methods) can be sufficient for meshes with a hundred thousand vertices.  

Question 5: ________  

Question 6: By using ________ on the righthandside of (1), we obtain  

Question 7: One might choose basis functions as either piecewise constant functions or ________.  

Question 8: Clough in the 1960s for use in ________.  

Question 9: However, the derivative exists at every other value of x and one can use this derivative for the purpose of ________.  

Question 10: The first step is to convert P1 and P2 into their ________ equivalents, or Weak formulation.  

