Finite element method: Quiz

Question 1: The finite-element method originated from the need for solving complex elasticity and structural analysis problems in civil and ________.
Electrical engineeringMechanical engineeringIndustrial engineeringAerospace engineering

Question 2: For problems that are not too large, sparse LU decompositions and ________ still work well.
Matrix (mathematics)Cholesky decompositionGaussian eliminationMatrix decomposition

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).
Computational fluid dynamicsComputational physicsMonte Carlo methodRiemann solver

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.
MATLABMathematicaMaple (software)Sage (mathematics software)

Question 5: ________
FemapCalculixNEi NastranList of finite element software packages

Question 6: By using ________ on the right-hand-side of (1), we obtain
IntegralDerivativeIntegration by partsImplicit and explicit functions

Question 7: One might choose basis functions as either piecewise constant functions or ________.
Dirac delta functionCauchy distributionProbability distributionNormal distribution

Question 8: Clough in the 1960s for use in ________.
Electrical engineeringStructural engineeringCivil engineeringEnvironmental engineering

Question 9: However, the derivative exists at every other value of x and one can use this derivative for the purpose of ________.
Implicit and explicit functionsContinuous functionIntegralIntegration by parts

Question 10: The first step is to convert P1 and P2 into their ________ equivalents, or Weak formulation.
Action (physics)Calculus of variationsCalculusEuler–Lagrange equation

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