mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-08-06 04:21:33 +00:00
6a8f8adc1f
RESEARCH QUESTION: Should JuliaFEM use hand-calculated derivatives or AD? Created comprehensive benchmark comparing: - Manual: Hand-calculated derivatives (traditional FEM) - AD: Tensors.jl gradient() (automatic differentiation) RESULTS (AMD Ryzen 9, Julia 1.12.1): - Manual: 8.7 ns, 0 allocations - AD: 268.1 ns, 0 allocations - AD is 30× SLOWER than manual KEY FINDINGS: ✅ Both achieve zero allocations (Tensors.jl is well-optimized) ❌ AD has 30× compute overhead from dual number arithmetic ⚠️ In assembly loops: millions of calls = 10+ seconds extra per solve RECOMMENDATION: - Keep manual derivatives for common elements (Tet10, Hex8, Quad4, etc.) - Use AD for prototyping and rare elements - Unit test manual vs AD to catch errors - Future: Generate derivatives symbolically (Symbolics.jl) WHY NOT AD EVERYWHERE? Assembly is hottest path in FEM. 30× overhead = unacceptable for production code. Users will notice the performance difference. WHY NOT ABANDON AD? - Excellent for prototyping - Required for exotic bases (NURBS) - Perfect for unit testing manual derivatives - Zero allocations impressive Files: - benchmarks/tet10_derivatives_benchmark.jl (runnable benchmark) - docs/benchmarks/shape_function_derivatives_ad_vs_manual.md (analysis) Dependencies added: BenchmarkTools This answers the research question definitively with data.
682 lines
22 KiB
TOML
682 lines
22 KiB
TOML
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version = "5.6.0+0"
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[[deps.MPICH_jll]]
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deps = ["Artifacts", "CompilerSupportLibraries_jll", "Hwloc_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "TOML"]
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git-tree-sha1 = "9341048b9f723f2ae2a72a5269ac2f15f80534dc"
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version = "4.3.2+0"
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[[deps.MPIPreferences]]
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deps = ["Libdl", "Preferences"]
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[[deps.MPItrampoline_jll]]
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deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "TOML"]
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git-tree-sha1 = "e214f2a20bdd64c04cd3e4ff62d3c9be7e969a59"
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[[deps.MacroTools]]
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[[deps.Markdown]]
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deps = ["Base64", "JuliaSyntaxHighlighting", "StyledStrings"]
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[[deps.MicrosoftMPI_jll]]
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deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
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git-tree-sha1 = "bc95bf4149bf535c09602e3acdf950d9b4376227"
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[[deps.MozillaCACerts_jll]]
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uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
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[[deps.NaNMath]]
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deps = ["OpenLibm_jll"]
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[[deps.NetworkOptions]]
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[[deps.OCCT_jll]]
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deps = ["Artifacts", "FreeType2_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "Xorg_libX11_jll", "Xorg_libXext_jll", "Xorg_libXfixes_jll", "Xorg_libXft_jll", "Xorg_libXinerama_jll", "Xorg_libXrender_jll"]
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deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "MPIPreferences", "TOML"]
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[[deps.OpenSSL_jll]]
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[[deps.OpenSpecFun_jll]]
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deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl"]
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git-tree-sha1 = "1346c9208249809840c91b26703912dff463d335"
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[[deps.PCRE2_jll]]
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deps = ["Artifacts", "Libdl"]
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[[deps.Parsers]]
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deps = ["Dates", "PrecompileTools", "UUIDs"]
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[[deps.Pixman_jll]]
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deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
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git-tree-sha1 = "db76b1ecd5e9715f3d043cec13b2ec93ce015d53"
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[[deps.Pkg]]
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deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "Random", "SHA", "TOML", "Tar", "UUIDs", "p7zip_jll"]
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[deps.Pkg.extensions]
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REPLExt = "REPL"
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[deps.Pkg.weakdeps]
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REPL = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
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[[deps.PrecompileTools]]
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deps = ["Preferences"]
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[[deps.Printf]]
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[[deps.SCOTCH_jll]]
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deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
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[deps.SpecialFunctions.extensions]
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SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"
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[deps.SpecialFunctions.weakdeps]
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ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
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StaticArraysChainRulesCoreExt = "ChainRulesCore"
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StaticArraysStatisticsExt = "Statistics"
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[deps.StaticArrays.weakdeps]
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ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
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StructUtilsMeasurementsExt = ["Measurements"]
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[[deps.Xorg_libXinerama_jll]]
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[[deps.Xorg_libpciaccess_jll]]
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[[deps.Xorg_libxcb_jll]]
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[[deps.libaec_jll]]
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[[deps.libblastrampoline_jll]]
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deps = ["Artifacts", "Libdl"]
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|
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
|
|
version = "5.15.0+0"
|
|
|
|
[[deps.libpng_jll]]
|
|
deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
|
|
git-tree-sha1 = "07b6a107d926093898e82b3b1db657ebe33134ec"
|
|
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
|
|
version = "1.6.50+0"
|
|
|
|
[[deps.nghttp2_jll]]
|
|
deps = ["Artifacts", "Libdl"]
|
|
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
|
|
version = "1.64.0+1"
|
|
|
|
[[deps.p7zip_jll]]
|
|
deps = ["Artifacts", "Libdl"]
|
|
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
|
|
version = "17.5.0+2"
|