03 01-01-introduction-linear-elliptic-partial-differential-equations-i (45.23 MB)
04 01-02-introduction-linear-elliptic-partial-differential-equations-ii (21.38 MB)
05 01-03-boundary-conditions (54.77 MB)
06 01-04-constitutive-relations (40.87 MB)
07 01-05-strong-form-of-the-partial-differential-equation-analytic-solution (38.75 MB)
08 01-06-weak-form-of-the-partial-differential-equation-i (26.99 MB)
09 01-07-weak-form-of-the-partial-differential-equation-ii (18.37 MB)
10 01-08-equivalence-between-the-strong-and-weak-forms (35.31 MB)
11 01-08ct-1-intro-to-c-running-your-code-basic-structure-number-types-vectors (63.77 MB)
12 01-08ct-2-intro-to-c-conditional-statements-for-loops-scope (45.39 MB)
13 01-08ct-3-intro-to-c-pointers-iterators (36.02 MB)
01 02-01-the-galerkin-or-finite-dimensional-weak-form (47.43 MB)
02 02-01q-response-to-a-question (17.4 MB)
03 02-02-basic-hilbert-spaces-i (28.93 MB)
04 02-03-basic-hilbert-spaces-ii (14.38 MB)
05 02-04-the-finite-element-method-for-the-one-dimensional-linear-elliptic-partial (49.51 MB)
06 02-04q-response-to-a-question (10.44 MB)
07 02-05-basis-functions-i (23 MB)
08 02-06-basis-functions-ii (22.1 MB)
09 02-07-the-bi-unit-domain-i (20.84 MB)
10 02-08-the-bi-unit-domain-ii (24.74 MB)
11 02-09-the-finite-dimensional-weak-form-as-a-sum-over-element-subdomains-i (27.99 MB)
12 02-10-the-finite-dimensional-weak-form-as-a-sum-over-element-subdomains-ii (21.22 MB)
13 02-10ct-1-intro-to-c-functions (28.05 MB)
14 02-10ct-2-intro-to-c-c-classes (41.9 MB)
01 03-01-the-matrix-vector-weak-form-i-i (30.02 MB)
02 03-02-the-matrix-vector-weak-form-i-ii (24.22 MB)
03 03-03-the-matrix-vector-weak-form-ii-i (21.8 MB)
04 03-04-the-matrix-vector-weak-form-ii-ii (21.49 MB)
05 03-05-the-matrix-vector-weak-form-iii-i (30.6 MB)
06 03-06-the-matrix-vector-weak-form-iii-ii (18.87 MB)
07 03-06ct-1-dealii-org-running-deal-ii-on-a-virtual-machine-with-oracle-virtualbox (50.14 MB)
08 03-06ct-2-intro-to-aws-using-aws-on-windows (62.38 MB)
09 03-06ct-2c-in-video-correction (23.62 MB)
10 03-06ct-3-using-aws-on-linux-and-mac-os (17.56 MB)
11 03-07-the-final-finite-element-equations-in-matrix-vector-form-i (30.29 MB)
12 03-08-the-final-finite-element-equations-in-matrix-vector-form-ii (27.72 MB)
13 03-08q-response-to-a-question (7.74 MB)
14 03-08ct-coding-assignment-1-main1-cc-overview-of-c-class-in-fem1-h (63.7 MB)
01 04-01-the-pure-dirichlet-problem-i (23.23 MB)
02 04-02-the-pure-dirichlet-problem-ii (18.74 MB)
03 04-02c-in-video-correction (2.64 MB)
04 04-03-higher-polynomial-order-basis-functions-i (32.03 MB)
05 04-03c0-in-video-correction (2.18 MB)
06 04-03c1-in-video-correction (1.73 MB)
07 04-04-higher-polynomial-order-basis-functions-i-ii (17.62 MB)
08 04-05-higher-polynomial-order-basis-functions-ii-i (16.09 MB)
09 04-06-higher-polynomial-order-basis-functions-iii (27.67 MB)
10 04-06ct-coding-assignment-1-functions-class-constructor-to-basis-gradient (42.31 MB)
11 04-07-the-matrix-vector-equations-for-quadratic-basis-functions-i-i (26.06 MB)
12 04-08-the-matrix-vector-equations-for-quadratic-basis-functions-i-ii (13.1 MB)
13 04-09-the-matrix-vector-equations-for-quadratic-basis-functions-ii-i (21.75 MB)
14 04-10-the-matrix-vector-equations-for-quadratic-basis-functions-ii-ii (29.03 MB)
15 04-11-numerical-integration-gaussian-quadrature (16.6 MB)
16 04-11ct-1-coding-assignment-1-functions-generate-mesh-to-setup-system (53.53 MB)
17 04-11ct-2-coding-assignment-1-functions-assemble-system (81.4 MB)
01 05-01-norms-i (33.2 MB)
02 05-01c-in-video-correction (2.33 MB)
03 05-01ct-1-coding-assignment-1-functions-solve-to-l2norm-of-error (33.08 MB)
04 05-01ct-2-visualization-tools (28.09 MB)
05 05-02-norms-ii (28.51 MB)
06 05-02-response-to-a-question (12.35 MB)
07 05-03-consistency-of-the-finite-element-method (46.16 MB)
08 05-04-the-best-approximation-property (25.25 MB)
09 05-05-the-pythagorean-theorem (22.37 MB)
10 05-05q-response-to-a-question (6.42 MB)
11 05-06-sobolev-estimates-and-convergence-of-the-finite-element-method (38.57 MB)
12 05-07-finite-element-error-estimates (35.97 MB)
01 06-01-functionals-free-energy-i (33.75 MB)
02 06-02-functionals-free-energy-ii (26.89 MB)
03 06-03-extremization-of-functionals (31.96 MB)
04 06-04-derivation-of-the-weak-form-using-a-variational-principle (42.5 MB)
01 07-01-the-strong-form-of-steady-state-heat-conduction-and-mass-diffusion-i (33.84 MB)
02 07-02-the-strong-form-of-steady-state-heat-conduction-and-mass-diffusion-ii (31.24 MB)
03 07-02q-response-to-a-question (6.1 MB)
04 07-03-the-strong-form-continued (26.91 MB)
05 07-03c-in-video-correction (2.54 MB)
06 07-04-the-weak-form (41.9 MB)
07 07-05-the-finite-dimensional-weak-form-i (21.15 MB)
08 07-06-the-finite-dimensional-weak-form-ii (22.52 MB)
09 07-07-three-dimensional-hexahedral-finite-elements (28.14 MB)
10 07-08-aside-insight-to-the-basis-functions-by-considering-the-two-dimensional (26.4 MB)
11 07-08c-in-video-correction (1.8 MB)
12 07-09-field-derivatives-the-jacobian-i (17.66 MB)
13 07-10-field-derivatives-the-jacobian-ii (15.94 MB)
14 07-11-the-integrals-in-terms-of-degrees-of-freedom (30.12 MB)
15 07-12-the-integrals-in-terms-of-degrees-of-freedom-continued (25.05 MB)
16 07-13-the-matrix-vector-weak-form-i (18.9 MB)
17 07-14-the-matrix-vector-weak-form-ii (14.9 MB)
18 07-15-the-matrix-vector-weak-form-continued-i (22.36 MB)
19 07-15c-in-video-correction (2.73 MB)
20 07-16-the-matrix-vector-weak-form-continued-ii (22.48 MB)
21 07-17-the-matrix-vector-weak-form-continued-further-i (21.51 MB)
22 07-17c-in-video-correction (1.53 MB)
23 07-18-the-matrix-vector-weak-form-continued-further-ii (24.18 MB)
24 07-18c-in-video-correction (5.94 MB)
01 08-01-lagrange-basis-functions-in-1-through-3-dimensions-i (29.02 MB)
02 08-01c-in-video-correction (2.56 MB)
03 08-02-lagrange-basis-functions-in-1-through-3-dimensions-ii (17.27 MB)
04 08-02ct-coding-assignment-2-2d-problem-i (51.86 MB)
05 08-03-quadrature-rules-in-1-through-3-dimensions (26.16 MB)
06 08-03ct-1-coding-assignment-2-2d-problem-ii (41.19 MB)
07 08-03ct-2-coding-assignment-2-3d-problem (30.81 MB)
08 08-04-triangular-and-tetrahedral-elements-linears-i (18.5 MB)
09 08-05-triangular-and-tetrahedral-elements-linears-ii (34.59 MB)
01 09-01-the-finite-dimensional-weak-form-and-basis-functions-i (29.23 MB)
02 09-02-the-finite-dimensional-weak-form-and-basis-functions-ii (18.75 MB)
03 09-03-the-matrix-vector-weak-form (30.98 MB)
04 09-03c-in-video-correction (3.09 MB)
05 09-04-the-matrix-vector-weak-form-ii (17.44 MB)
06 09-04c-in-video-correction (2.43 MB)
01 10-01-the-strong-form-of-linearized-elasticity-in-three-dimensions-i (16.31 MB)
02 10-02-the-strong-form-of-linearized-elasticity-in-three-dimensions-ii (50.41 MB)
03 10-02c-in-video-correction (2.16 MB)
04 10-03-the-strong-form-continued (35.44 MB)
05 10-04-the-constitutive-relations-of-linearized-elasticity (40.57 MB)
06 10-05-the-weak-form-i (21.43 MB)
07 10-05q-response-to-a-question (11.83 MB)
08 10-06-the-weak-form-ii (29.82 MB)
09 10-07-the-finite-dimensional-weak-form-basis-functions-i (32.59 MB)
10 10-08-the-finite-dimensional-weak-form-basis-functions-ii (11.4 MB)
11 10-09-element-integrals-i (28.67 MB)
12 10-09c-in-video-correction (2.2 MB)
13 10-10-element-integrals-ii (7.45 MB)
14 10-11-the-matrix-vector-weak-form-i (24.79 MB)
15 10-12-the-matrix-vector-weak-form-ii (13.76 MB)
16 10-13-assembly-of-the-global-matrix-vector-equations-i (39.79 MB)
17 10-14-assembly-of-the-global-matrix-vector-equations-ii (16.17 MB)
18 10-14c-in-video-correction (5.34 MB)
19 10-14ct-1-coding-assignment-3-i (39.19 MB)
20 10-14ct-2-coding-assignment-3-ii (59.59 MB)
21 10-15-dirichlet-boundary-conditions-i (36.62 MB)
22 10-16-dirichlet-boundary-conditions-ii (23.79 MB)
01 11-01-the-strong-form (43.5 MB)
02 11-01c-in-video-correction (2.44 MB)
03 11-02-the-weak-form-and-finite-dimensional-weak-form-i (27.17 MB)
04 11-03-the-weak-form-and-finite-dimensional-weak-form-ii (16.22 MB)
05 11-04-basis-functions-and-the-matrix-vector-weak-form-i (32.82 MB)
06 11-04c-in-video-correction (1.72 MB)
07 11-05-basis-functions-and-the-matrix-vector-weak-form-ii (21.9 MB)
08 11-05-response-to-a-question (2.22 MB)
09 11-06-dirichlet-boundary-conditions-the-final-matrix-vector-equations (31.82 MB)
10 11-07-time-discretization-the-euler-family-i (39.65 MB)
11 11-08-time-discretization-the-euler-family-ii (17.11 MB)
12 11-09-the-v-form-and-d-form (38.33 MB)
13 11-09ct-1-coding-assignment-4-i (49.87 MB)
14 11-09ct-2-coding-assignment-4-ii (37.06 MB)
15 11-10-analysis-of-the-integration-algorithms-for-first-order-parabolic-equations (31.93 MB)
16 11-11-analysis-of-the-integration-algorithms-for-first-order-parabolic-equations (22.89 MB)
17 11-11c-in-video-correction (2.05 MB)
18 11-12-modal-decomposition-and-modal-equations-i (24.77 MB)
19 11-13-modal-decomposition-and-modal-equations-ii (26.21 MB)
20 11-14-modal-equations-and-stability-of-the-time-exact-single-degree-of-freedom (18.98 MB)
21 11-15-modal-equations-and-stability-of-the-time-exact-single-degree-of-freedom (45.8 MB)
22 11-15q-response-to-a-question (20.33 MB)
23 11-16-stability-of-the-time-discrete-single-degree-of-freedom-systems (37.42 MB)
24 11-17-behavior-of-higher-order-modes-consistency-i (30.97 MB)
25 11-18-behavior-of-higher-order-modes-consistency-ii (33.13 MB)
26 11-19-convergence-i (31.59 MB)
27 11-20-convergence-ii (25.27 MB)
01 12-01-the-strong-and-weak-forms (34.31 MB)
02 12-02-the-finite-dimensional-and-matrix-vector-weak-forms-i (17.64 MB)
03 12-03-the-finite-dimensional-and-matrix-vector-weak-forms-ii (27.24 MB)
04 12-04-the-time-discretized-equations (37.67 MB)
05 12-05-stability-i (20.81 MB)
06 12-06-stability-ii (21.74 MB)
07 12-07-behavior-of-higher-order-modes (28.23 MB)
08 12-08-convergence (38.39 MB)
09 12-08c-in-video-correction (7.01 MB)
01 conclusion-and-the-road-ahead (30.95 MB)