Skip to main content

Train Courses Problems Proof Blocks Tools Progress Account

⌄

AccountSign-in, membership, and settings Current courseCalculus IThemeAbout ProofAnvilLoading account…

Problem library

Find a problem

Search by course or topic.

Loading the problem library…

TrainCoursesProblemsProgressMoreTrain Courses Problems Progress

More

Proof Blocks Tools Account

ProofAnvil Practice$19 USD monthly · cancel any time

Pricing FAQ Features Roadmap Use with your agent Support Terms Privacy Refunds

Practice problems with hints and solutions · ProofAnvil

Problem library

Find a problem

Search by course or topic.

Search problems

Filters · 2 active

Area

AllMathPhysics

SubjectCourseTopic

Topic choices for Finite Element Methods are shortened. Search still covers every problem.

StatusSkill

Skills match the applied subject and course.

Problem styleFind a private labelPrivate labelPrivate labels are visible only to you.Private labels ready.Favorites

Browsing still works.Sign in to use progress, saved problems and private labels. Problem search and previews remain available.

Progress labels

IndependentSolved with helpIncorrect / unresolvedDraft in progressNot attemptedReview due

Problem results

Sort

ProblemsClear skill: Elements Interpolation Build a practice set

ProblemCourse & topicStatus

FEM:9911051Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911052A four-node isoparametric quadrilateral uses the node order and parent coordinates stated in Problem 51.

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911053Consider steady anisotropic diffusion on one four-node isoparametric quadrilateral with physical nodes (0,0), (2,0)…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911054A distorted four-node isoparametric quadrilateral has physical nodes (0,0), (3,0), (7/2,2), and (-1/2,3) m…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911055For a one-parameter family of bilinear isoparametric quadrilaterals, the physical nodes are (0,0), (4,0), (3,2)…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911056A plane-strain four-node isoparametric quadrilateral has physical nodes (0,0), (3,1/2), (7/2,5/2), and (-1/2,2) m,…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911057A plane-stress four-node isoparametric element of thickness t=0.08 m has physical nodes (0,0), (2,0), (12/5,1)…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911058A four-node isoparametric quadrilateral has physical nodes (0,0), (3,0), (4,2), and (-1,5/2) m, ordered as in…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911059A distorted bilinear quadrilateral has physical nodes (0,0), (4,0), (5,3), and (0,2) m, ordered as in Problem 51.

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911060Two four-node isoparametric elements have the same node order as Problem 51.

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911061Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911062A three-node quadratic axial bar element has nodes at x=0,1,2, constant axial rigidity EA=4, and parent-coordinate…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911063Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911064Consider the scalar diffusion equation on a unit-square bilinear quadrilateral element with counterclockwise nodes…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911065A unit-square four-node bilinear plane-stress element has counterclockwise nodes (0,0),(1,0),(1,1),(0,1), unit…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911066A two-node Timoshenko beam element of length L=2 uses linear interpolation for transverse displacement w and…

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911067Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911068Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911069Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911070A uniform axial bar of length 2 is discretized by two equal two-node elements with global nodes at x=0,1,2.

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911071Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911072Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911073Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

FEM:9911074Mathematical problem title

Elements InterpolationFinite Element Methods Problem Solving

Reference elements, interpolation, and numerical quadratureFinite Element Methods · Calculation

—

Showing 24 of 50 matching problems.

Private labels

Edit private labels

Add labels that only you can see.

Problem

Current labels

Private labels are unavailable. Close this editor and try again.

New label

Use a short label.

A four-node bilinear quadrilateral has parent coordinates

(\xi,\eta)\in[-1,1]^2

and local nodes 1 through 4 at…

A two-node axial bar element occupies

0\le

x\le

2, with nodes at x=0 and x=2.

A linear triangular finite element has vertices

(x_1,y_1)=(0,0)

,

(x_2,y_2)=(2,0)

, and

(x_3,y_3)=(0,1)

.

A two-node axial bar element occupies

0\le

x\le3

, with

N_1=1-x/3

,

N_2=x/3

, and spatially varying line density

\rho

…

A three-node quadratic axial element of length L=2 has constant line density

\rho

A=3 and shape functions…

A unit-square four-node bilinear element has constant density

\rho=2

, unit thickness, and counterclockwise nodes…

A straight homogeneous bar of length

L=0.60\,\mathrm{m}

and constant cross-sectional area

A=0.010\,\mathrm{m^2}

…

On the unit square

\Omega=[0,1]\times[0,1]

, solve

-\nabla^2

u=4 by the Galerkin finite-element method.

A composite wall occupies

0\le

x\le0.30\,\mathrm{m}

and has unit area normal to heat flow.

A thin plate of unit thickness occupies the triangular region with vertices 1=(0,0), 2=(2,0), and

3=(0,1)\,\mathrm{m}

.