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/libCEED/include/ceed/jit-source/magma/
H A Dmagma-common-tensor.h18 template <typename T, int LENGTH, int NUM_COMP>
19 static __device__ __inline__ void read_1d(const T *devptr, const int compstride, T *sBuffer[NUM_COM… in read_1d()
30 template <typename T, int LENGTH, int NUM_COMP>
31 static __device__ __inline__ void write_1d(T *sBuffer[NUM_COMP], T *devptr, const int compstride, c… in write_1d()
42 template <typename T, int LENGTH, int NUM_COMP>
43 static __device__ __inline__ void sum_1d(T *sBuffer[NUM_COMP], T *devptr, const int compstride, con… in sum_1d()
58 template <typename T, int P, int DIM_U, int NUM_COMP, int rU_SIZE, int i_DIM>
59 …c __device__ __inline__ void read_U_2d(const T *dU, const int compstride, T rU[DIM_U][NUM_COMP][rU… in read_U_2d()
94 template <typename T, int Q, int DIM_V, int NUM_COMP, int rV_SIZE, int i_DIM>
95 static __device__ __inline__ void read_V_2d(const T *dV, const int compstride, T rV[DIM_V][NUM_COMP… in read_V_2d()
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H A Dmagma-common-nontensor.h19 template <typename T, int P, int Q, int BY>
20 …line__ void read_A_notrans_g2r_1D_nosync(const int tx, const int ty, const T *dA, T *sA, T rA[Q]) { in read_A_notrans_g2r_1D_nosync()
44 template <typename T, int P, int Q, int BY>
45 …inline__ void read_A_trans_g2r_1D_nosync(const int tx, const int ty, const T *dA, T *sA, T rA[Q]) { in read_A_trans_g2r_1D_nosync()
69 template <typename T, int P, int Q, int NB>
70 static __device__ __inline__ void read_B_g2s_1D_nosync(const int tx, const int n, const T *dB, T *s… in read_B_g2s_1D_nosync()
93 template <typename T, int P, int Q, int NB>
94 static __device__ __inline__ void write_C_r2g_1D_nosync(const int tx, const int n, T rC[NB], T *dC)… in write_C_r2g_1D_nosync()
112 template <typename T, int P, int Q, int NB>
113 static __device__ __inline__ void sum_C_r2g_1D_nosync(const int tx, const int n, T rC[NB], T *dC) { in sum_C_r2g_1D_nosync()
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H A Dmagma-basis-grad-3d.h19 template <typename T, bool Add>
22 template <typename T>
23 struct magma_grad_3d_device_accumulate<T, true> {
24 static __device__ __inline__ void op(T &rV, const T &rTmp) { rV += rTmp; }
27 template <typename T>
28 struct magma_grad_3d_device_accumulate<T, false> {
29 static __device__ __inline__ void op(T &rV, const T &rTmp) { rV = rTmp; }
40 template <typename T, int DIM_U, int DIM_V, int NUM_COMP, int P, int Q, int rU_SIZE, int rV_SIZE, i…
41 static __device__ __inline__ void magma_grad_3d_device(const T *sTinterp, const T *sTgrad, T rU[DIM…
42 … T rV[DIM_V][NUM_COMP][rV_SIZE], const int tx, T rTmp, T *swork) {
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H A Dmagma-basis-grad-2d.h18 template <typename T, bool Add>
21 template <typename T>
22 struct magma_grad_2d_device_accumulate<T, true> {
23 static __device__ __inline__ void op(T &rV, const T &rTmp) { rV += rTmp; }
26 template <typename T>
27 struct magma_grad_2d_device_accumulate<T, false> {
28 static __device__ __inline__ void op(T &rV, const T &rTmp) { rV = rTmp; }
39 template <typename T, int DIM_U, int DIM_V, int NUM_COMP, int P, int Q, int rU_SIZE, int rV_SIZE, i…
40 static __device__ __inline__ void magma_grad_2d_device(const T *sTinterp, const T *sTgrad, T rU[DIM…
41 … T rV[DIM_V][NUM_COMP][rV_SIZE], const int tx, T rTmp, T *swork) {
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H A Dmagma-basis-interp-3d.h18 template <typename T, int DIM_U, int DIM_V, int NUM_COMP, int P, int Q, int rU_SIZE, int rV_SIZE>
19 …__device__ __inline__ void magma_interp_3d_device(const T *sT, T rU[DIM_U][NUM_COMP][rU_SIZE], T r… in magma_interp_3d_device()
20 T rTmp[Q], T *swork) { in magma_interp_3d_device()
37 T *sTmp = swork + batchid * (1 * Q); in magma_interp_3d_device()
53 T *sTmp = swork + batchid * (Q * P); // sTmp is input in magma_interp_3d_device()
68 T *sTmp = swork + batchid * (Q * Q); in magma_interp_3d_device()
80 T *sTmp = swork; in magma_interp_3d_device()
H A Dmagma-basis-interp-2d.h18 template <typename T, int DIM_U, int DIM_V, int NUM_COMP, int P, int Q, int rU_SIZE, int rV_SIZE>
19 …__device__ __inline__ void magma_interp_2d_device(const T *sT, T rU[DIM_U][NUM_COMP][rU_SIZE], T r… in magma_interp_2d_device()
20 T rTmp, T *swork) { in magma_interp_2d_device()
37 T *sTmp = swork + batchid * (1 * Q); in magma_interp_2d_device()
52 T *sTmp = swork + batchid * (Q * P); in magma_interp_2d_device()
H A Dmagma-basis-weight-1d.h14 template <typename T, int Q>
15 static __device__ __inline__ void magma_weight_1d_device(const T *sTweight, T *sV, const int tx) { in magma_weight_1d_device()
H A Dmagma-basis-weight-2d.h14 template <typename T, int DIM, int NUM_COMP, int Q, int i_DIM, int i_COMP>
15 static __device__ __inline__ void magma_weight_2d_device(const T *sTweight, T rV[DIM][NUM_COMP][Q],… in magma_weight_2d_device()
H A Dmagma-basis-weight-3d.h14 template <typename T, int DIM, int NUM_COMP, int Q, int i_DIM, int i_COMP>
15 static __device__ __inline__ void magma_weight_3d_device(const T *sTweight, T rV[DIM][NUM_COMP][Q],… in magma_weight_3d_device()
H A Dmagma-basis-grad-1d.h17 template <typename T, int DIM, int NUM_COMP, int P, int Q>
18 static __device__ __inline__ void magma_grad_1d_device(const T *sT, T *sU[NUM_COMP], T *sV[NUM_COMP… in magma_grad_1d_device()
30 T rv = 0.0; in magma_grad_1d_device()
H A Dmagma-basis-interp-1d.h17 template <typename T, int DIM, int NUM_COMP, int P, int Q>
18 static __device__ __inline__ void magma_interp_1d_device(const T *sT, T *sU[NUM_COMP], T *sV[NUM_CO… in magma_interp_1d_device()
30 T rv = 0.0; in magma_interp_1d_device()
H A Dmagma-basis-interp-deriv-nontensor.h13 template <typename T, int Q_COMP, int P, int Q, int NB>
56 template <typename T, int Q_COMP, int P, int Q, int NB>
102 template <typename T, int Q_COMP, int P, int Q, int NB>
148 template <typename T, int P, int Q, int NB>
184 template <typename T, int P, int Q, int NB>
220 template <typename T, int P, int Q, int NB>
/libCEED/examples/nek/boxes/
H A Db1e.rea129 T IFFLOW
131 T IFTRAN
132 T T F F F F F F F F F IFNAV & IFADVC (convection in P.S. fields)
133 F F T T T T T T T T T T IFTMSH (IF mesh for this field is T mesh)
185 T COORDINATES
186 T VELOCITY
187 T PRESSURE
188 T TEMPERATURE
/libCEED/julia/LibCEED.jl/test/
H A Dbuildmats.jl1 function build_mats_hdiv(qref, qweight, ::Type{T}=Float64) where {T} argument
3 interp = Array{T}(undef, dim, Q, P)
4 div = Array{T}(undef, Q, P)
42 function build_mats_hcurl(qref, qweight, ::Type{T}=Float64) where {T} argument
44 interp = Array{T}(undef, dim, Q, P)
45 curl = Array{T}(undef, 1, Q, P)
/libCEED/examples/petsc/
H A Dindex.md90 …\bm x \rVert} \bm I_{(3\times 3)} - \frac{1}{\lVert \bm x \rVert^3} (\bm x \bm x^T)_{(3\times 3)} .
109 …T \frac{\partial\overset{\circ}{\bm{x}}}{\partial \bm{X}}_{(3\times2)} \right)^{-1} \frac{\partial…
121 …rtial \overset\circ{\bm x}} \left( \frac{\partial u}{\partial \overset\circ{\bm x}} \right)^T \, dS
122 …\partial \overset\circ{\bm x}} \right)^T}_{\bm g_{(2\times 2)}} \left(\frac{\partial u}{\partial …
129 …T \frac{\partial\overset{\circ}{\bm{x}}}{\partial \bm{X}} \right)^{-1}_{(2\times 2)} \frac{\partia…
136 …T \, dS = \int_{\Omega} \frac{\partial v}{\partial \bm X} \underbrace{\left(\frac{\partial \ov…
153 …on operators given by interpolation basis operations, $\bm{B}$, and $\bm{B}^T$, respectively, act …
/libCEED/examples/fluids/problems/
H A Dbc_freestream.c261 const CeedScalar T = 200; in TestRiemannHLL_fwd() local
263 const CeedScalar p = (HeatCapacityRatio(gas) - 1) * rho * gas->cv * T; in TestRiemannHLL_fwd()
266 const CeedScalar Y0_left[5] = {p, u[0], u[1], u[2], T}; in TestRiemannHLL_fwd()
267 const CeedScalar Y0_right[5] = {1.2 * p, 1.2 * u[0], 1.2 * u[1], 1.2 * u[2], 1.2 * T}; in TestRiemannHLL_fwd()
323 const CeedScalar T = 200; in TestRiemannHLLC_fwd() local
325 const CeedScalar p = (HeatCapacityRatio(gas) - 1) * rho * gas->cv * T; in TestRiemannHLLC_fwd()
328 const CeedScalar Y0_left[5] = {p, u[0], u[1], u[2], T}; in TestRiemannHLLC_fwd()
329 const CeedScalar Y0_right[5] = {1.2 * p, 1.2 * u[0], 1.2 * u[1], 1.2 * u[2], 1.2 * T}; in TestRiemannHLLC_fwd()
385 const CeedScalar T = 200; in TestComputeHLLSpeeds_Roe_fwd() local
387 const CeedScalar p = (HeatCapacityRatio(gas) - 1) * rho * gas->cv * T; in TestComputeHLLSpeeds_Roe_fwd()
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/libCEED/examples/fluids/qfunctions/
H A Deulervortex.h87 CeedScalar rho, P, T, E, u[3] = {0.}; in Exact_Euler() local
92 T = 1 + delta_T; in Exact_Euler()
96 rho = pow(T / S_vortex, 1 / (gamma - 1.)); in Exact_Euler()
97 P = rho * T; in Exact_Euler()
136 T = 1. - S_bubble * exp(1. - r * r); in Exact_Euler()
137 rho = P / (R * T); in Exact_Euler()
144 q[4] = rho * (cv * T + (u[0] * u[0] + u[1] * u[1]) / 2.); in Exact_Euler()
149 T = 1. - S_bubble * exp(1. - r * r); in Exact_Euler()
150 rho = P / (R * T); in Exact_Euler()
159 q[4] = rho * (cv * T + (u[0] * u[0] + u[1] * u[1]) / 2.); in Exact_Euler()
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/libCEED/julia/LibCEED.jl/examples/
H A Dex3-volume.jl91 # Store diffusion components (J^T * J)
136 # The qdata contains the symmetric diffusion tensor (J^T*J)
137 # dv_i = sum_j (J^T*J)_{i,j} * du_j
170 # Compute the mesh volume using the mass+diffusion operator: vol = 1^T \cdot (M + K) \cdot 1
171 print("Computing the mesh volume using the formula: vol = 1^T * (M + K) * 1...")
H A Dex2-surface.jl138 # sa = 1^T \cdot abs( K \cdot x).
139 print("Computing the mesh surface area using the formula: sa = 1^T.|K.x| ...")
H A Dex1-volume.jl131 # Compute the mesh volume using the mass operator: vol = 1^T \cdot M \cdot 1
132 print("Computing the mesh volume using the formula: vol = 1^T.M.1 ...")
/libCEED/examples/solids/
H A Dindex.md70 \bm{\epsilon} = \dfrac{1}{2}\left(\nabla \bm{u} + \nabla \bm{u}^T \right).
78 Q \bm \sigma(\bm \epsilon) Q^T = \bm \sigma(Q \bm \epsilon Q^T),
93 \gamma(\bm \epsilon) = \gamma(Q \bm \epsilon Q^T)
170 \diff \bm{\epsilon} = \dfrac{1}{2}\left( \nabla \diff \bm{u} + \nabla \diff \bm{u}^T \right)
256 \bm C = \bm F^T \bm F
262 …C - \bm I_3) = \frac 1 2 \Big( \nabla_X \bm u + (\nabla_X \bm u)^T + (\nabla_X \bm u)^T \nabla_X \…
432 … E}{\partial \bm F} \!:\! \diff \bm F = \frac 1 2 \Big( \diff \bm F^T \bm F + \bm F^T \diff \bm F …
476 …+ \lambda (\bm C^{-1} : \diff \bm E) \bm F^{-T} + 2(\mu - \lambda \log J) \bm F^{-T} \diff\bm E \,…
478 …+ \lambda (\bm F^{-T} : \diff \bm F) \bm F^{-T} + (\mu - \lambda \log J) \bm F^{-T} (\bm F^T \diff…
480 …lambda (\bm F^{-T} : \diff \bm F) \bm F^{-T} + (\mu - \lambda \log J) \Big( \diff \bm F\, \bm C^{-…
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/libCEED/examples/
H A Dbps.md39 \langle v,u \rangle = \bm v^T M \bm u , \qquad \langle v,f\rangle = \bm v^T \bm b \,.
69 a(v,u) = \bm v^T K \bm u ,
/libCEED/doc/sphinx/source/
H A DlibCEEDapi.md51 …rder ($Q_3$) scalar continuous ($H^1$) elements, where we use the notions **T-vector**, **L-vector…
75 - True degrees of freedom/unknowns, **T-vector**:
81 > ```{image} ../../img/T-vector.svg
122 > - here X can be any of the T, L, E, or Q categories
123 > - for example, the mass matrix operator maps a **T-vector** to a **T'-vector**
124 > - the solutions vector is a **T-vector**, and the RHS vector is a **T'-vector**
125 …> - using the parallel prolongation operator, one can map the solution **T-vector** to a solution …
132 …> - the T in TA indicates that the data format represents an operator from a **T-vector** to a **T…
138 > - note that $\bm{P}$ is the operator mapping T-vectors to L-vectors.
159 For example, one can compute and store a global matrix on **T-vector** level.
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/libCEED/julia/LibCEED.jl/src/
H A DQuadrature.jl16 struct QuadratureMode{T} end argument
H A DUserQFunction.jl8 @inline function extract_context(ptr, ::Type{T}) where {T} argument
9 unsafe_load(Ptr{T}(ptr))

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